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Finding the Fourth Proportional to 458,697.20, 688,045.80 and 429,172.70

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Solution

The fourth proportional to 458,697.20, 688,045.80 and 429,172.70 is: 643,759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,697.20 : 688,045.80 = 429,172.70 : x
  2. Step 2: Convert to fraction form
    458,697.20/688,045.80 = 429,172.70/x
  3. Step 3: Cross multiply
    458,697.20x = 688,045.80 × 429,172.70
  4. Step 4: Simplify right side
    458,697.20x = 295,290,473,709.66
  5. Step 5: Solve for x
    x = 295,290,473,709.66/458,697.20
  6. Step 6: Final answer
    x = 643,759.05

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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.