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Finding the Fourth Proportional to 488,048.80, 731,101.20 and 429,599.20

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Solution

The fourth proportional to 488,048.80, 731,101.20 and 429,599.20 is: 643,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,048.80 : 731,101.20 = 429,599.20 : x
  2. Step 2: Convert to fraction form
    488,048.80/731,101.20 = 429,599.20/x
  3. Step 3: Cross multiply
    488,048.80x = 731,101.20 × 429,599.20
  4. Step 4: Simplify right side
    488,048.80x = 314,080,490,639.04
  5. Step 5: Solve for x
    x = 314,080,490,639.04/488,048.80
  6. Step 6: Final answer
    x = 643,543.21

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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.