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Finding the Fourth Proportional to 708,909.29, 978,255.80 and 402,943.13

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Solution

The fourth proportional to 708,909.29, 978,255.80 and 402,943.13 is: 556,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,909.29 : 978,255.80 = 402,943.13 : x
  2. Step 2: Convert to fraction form
    708,909.29/978,255.80 = 402,943.13/x
  3. Step 3: Cross multiply
    708,909.29x = 978,255.80 × 402,943.13
  4. Step 4: Simplify right side
    708,909.29x = 394,181,453,992.65
  5. Step 5: Solve for x
    x = 394,181,453,992.65/708,909.29
  6. Step 6: Final answer
    x = 556,039.34

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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.