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Finding the Fourth Proportional to 658,808.80, 986,026.20 and 478,381.30

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Solution

The fourth proportional to 658,808.80, 986,026.20 and 478,381.30 is: 715,983.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,808.80 : 986,026.20 = 478,381.30 : x
  2. Step 2: Convert to fraction form
    658,808.80/986,026.20 = 478,381.30/x
  3. Step 3: Cross multiply
    658,808.80x = 986,026.20 × 478,381.30
  4. Step 4: Simplify right side
    658,808.80x = 471,696,495,390.06
  5. Step 5: Solve for x
    x = 471,696,495,390.06/658,808.80
  6. Step 6: Final answer
    x = 715,983.90

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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.