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Finding the Fourth Proportional to 517,246.12, 713,794.98 and 290,886.76

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Solution

The fourth proportional to 517,246.12, 713,794.98 and 290,886.76 is: 401,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,246.12 : 713,794.98 = 290,886.76 : x
  2. Step 2: Convert to fraction form
    517,246.12/713,794.98 = 290,886.76/x
  3. Step 3: Cross multiply
    517,246.12x = 713,794.98 × 290,886.76
  4. Step 4: Simplify right side
    517,246.12x = 207,633,509,036.47
  5. Step 5: Solve for x
    x = 207,633,509,036.47/517,246.12
  6. Step 6: Final answer
    x = 401,421.10

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Double scale
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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.