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Finding the Fourth Proportional to 517,069.50, 713,564.82 and 287,645.10

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Solution

The fourth proportional to 517,069.50, 713,564.82 and 287,645.10 is: 396,955.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,069.50 : 713,564.82 = 287,645.10 : x
  2. Step 2: Convert to fraction form
    517,069.50/713,564.82 = 287,645.10/x
  3. Step 3: Cross multiply
    517,069.50x = 713,564.82 × 287,645.10
  4. Step 4: Simplify right side
    517,069.50x = 205,253,424,005.38
  5. Step 5: Solve for x
    x = 205,253,424,005.38/517,069.50
  6. Step 6: Final answer
    x = 396,955.19

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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.