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Finding the Fourth Proportional to 708,898.26, 978,240.60 and 402,932.10

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Solution

The fourth proportional to 708,898.26, 978,240.60 and 402,932.10 is: 556,024.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,898.26 : 978,240.60 = 402,932.10 : x
  2. Step 2: Convert to fraction form
    708,898.26/978,240.60 = 402,932.10/x
  3. Step 3: Cross multiply
    708,898.26x = 978,240.60 × 402,932.10
  4. Step 4: Simplify right side
    708,898.26x = 394,164,539,263.26
  5. Step 5: Solve for x
    x = 394,164,539,263.26/708,898.26
  6. Step 6: Final answer
    x = 556,024.13

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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.