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Finding the Fourth Proportional to 517,357.13, 713,938.20 and 287,910.75

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Solution

The fourth proportional to 517,357.13, 713,938.20 and 287,910.75 is: 397,308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,357.13 : 713,938.20 = 287,910.75 : x
  2. Step 2: Convert to fraction form
    517,357.13/713,938.20 = 287,910.75/x
  3. Step 3: Cross multiply
    517,357.13x = 713,938.20 × 287,910.75
  4. Step 4: Simplify right side
    517,357.13x = 205,550,482,615.65
  5. Step 5: Solve for x
    x = 205,550,482,615.65/517,357.13
  6. Step 6: Final answer
    x = 397,308.69

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.