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Finding the Fourth Proportional to 458,805.60, 687,552.30 and 318,400.20

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Solution

The fourth proportional to 458,805.60, 687,552.30 and 318,400.20 is: 477,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,805.60 : 687,552.30 = 318,400.20 : x
  2. Step 2: Convert to fraction form
    458,805.60/687,552.30 = 318,400.20/x
  3. Step 3: Cross multiply
    458,805.60x = 687,552.30 × 318,400.20
  4. Step 4: Simplify right side
    458,805.60x = 218,916,789,830.46
  5. Step 5: Solve for x
    x = 218,916,789,830.46/458,805.60
  6. Step 6: Final answer
    x = 477,144.98

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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.