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Finding the Fourth Proportional to 708,913.29, 978,261.32 and 402,947.13

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Solution

The fourth proportional to 708,913.29, 978,261.32 and 402,947.13 is: 556,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,913.29 : 978,261.32 = 402,947.13 : x
  2. Step 2: Convert to fraction form
    708,913.29/978,261.32 = 402,947.13/x
  3. Step 3: Cross multiply
    708,913.29x = 978,261.32 × 402,947.13
  4. Step 4: Simplify right side
    708,913.29x = 394,187,591,284.01
  5. Step 5: Solve for x
    x = 394,187,591,284.01/708,913.29
  6. Step 6: Final answer
    x = 556,044.86

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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.