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Finding the Fourth Proportional to 458,438.20, 687,657.30 and 290,476.60

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Solution

The fourth proportional to 458,438.20, 687,657.30 and 290,476.60 is: 435,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,438.20 : 687,657.30 = 290,476.60 : x
  2. Step 2: Convert to fraction form
    458,438.20/687,657.30 = 290,476.60/x
  3. Step 3: Cross multiply
    458,438.20x = 687,657.30 × 290,476.60
  4. Step 4: Simplify right side
    458,438.20x = 199,748,354,469.18
  5. Step 5: Solve for x
    x = 199,748,354,469.18/458,438.20
  6. Step 6: Final answer
    x = 435,714.90

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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.