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Finding the Fourth Proportional to 708,906.29, 978,251.66 and 402,940.13

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Solution

The fourth proportional to 708,906.29, 978,251.66 and 402,940.13 is: 556,035.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,906.29 : 978,251.66 = 402,940.13 : x
  2. Step 2: Convert to fraction form
    708,906.29/978,251.66 = 402,940.13/x
  3. Step 3: Cross multiply
    708,906.29x = 978,251.66 × 402,940.13
  4. Step 4: Simplify right side
    708,906.29x = 394,176,851,053.12
  5. Step 5: Solve for x
    x = 394,176,851,053.12/708,906.29
  6. Step 6: Final answer
    x = 556,035.20

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