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Finding the Fourth Proportional to 708,862.86, 978,255.27 and 402,952.05

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Solution

The fourth proportional to 708,862.86, 978,255.27 and 402,952.05 is: 556,087.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,862.86 : 978,255.27 = 402,952.05 : x
  2. Step 2: Convert to fraction form
    708,862.86/978,255.27 = 402,952.05/x
  3. Step 3: Cross multiply
    708,862.86x = 978,255.27 × 402,952.05
  4. Step 4: Simplify right side
    708,862.86x = 394,189,966,469.80
  5. Step 5: Solve for x
    x = 394,189,966,469.80/708,862.86
  6. Step 6: Final answer
    x = 556,087.77

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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.