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Finding the Fourth Proportional to 429,862.40, 643,262.70 and 374,312.60

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Solution

The fourth proportional to 429,862.40, 643,262.70 and 374,312.60 is: 560,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,862.40 : 643,262.70 = 374,312.60 : x
  2. Step 2: Convert to fraction form
    429,862.40/643,262.70 = 374,312.60/x
  3. Step 3: Cross multiply
    429,862.40x = 643,262.70 × 374,312.60
  4. Step 4: Simplify right side
    429,862.40x = 240,781,333,720.02
  5. Step 5: Solve for x
    x = 240,781,333,720.02/429,862.40
  6. Step 6: Final answer
    x = 560,135.83

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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.