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Finding the Fourth Proportional to 458,652.40, 687,978.60 and 440,281.60

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Solution

The fourth proportional to 458,652.40, 687,978.60 and 440,281.60 is: 660,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,652.40 : 687,978.60 = 440,281.60 : x
  2. Step 2: Convert to fraction form
    458,652.40/687,978.60 = 440,281.60/x
  3. Step 3: Cross multiply
    458,652.40x = 687,978.60 × 440,281.60
  4. Step 4: Simplify right side
    458,652.40x = 302,904,318,773.76
  5. Step 5: Solve for x
    x = 302,904,318,773.76/458,652.40
  6. Step 6: Final answer
    x = 660,422.40

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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.