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Finding the Fourth Proportional to 655,853.94, 983,781.09 and 506,312.55

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Solution

The fourth proportional to 655,853.94, 983,781.09 and 506,312.55 is: 759,468.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,853.94 : 983,781.09 = 506,312.55 : x
  2. Step 2: Convert to fraction form
    655,853.94/983,781.09 = 506,312.55/x
  3. Step 3: Cross multiply
    655,853.94x = 983,781.09 × 506,312.55
  4. Step 4: Simplify right side
    655,853.94x = 498,100,712,319.68
  5. Step 5: Solve for x
    x = 498,100,712,319.68/655,853.94
  6. Step 6: Final answer
    x = 759,468.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.