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Finding the Fourth Proportional to 708,839.10, 978,176.16 and 402,948.90

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Solution

The fourth proportional to 708,839.10, 978,176.16 and 402,948.90 is: 556,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,839.10 : 978,176.16 = 402,948.90 : x
  2. Step 2: Convert to fraction form
    708,839.10/978,176.16 = 402,948.90/x
  3. Step 3: Cross multiply
    708,839.10x = 978,176.16 × 402,948.90
  4. Step 4: Simplify right side
    708,839.10x = 394,155,007,678.22
  5. Step 5: Solve for x
    x = 394,155,007,678.22/708,839.10
  6. Step 6: Final answer
    x = 556,057.09

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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.