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Finding the Fourth Proportional to 458,766.78, 687,373.64 and 280,902.40

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Solution

The fourth proportional to 458,766.78, 687,373.64 and 280,902.40 is: 420,878.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,766.78 : 687,373.64 = 280,902.40 : x
  2. Step 2: Convert to fraction form
    458,766.78/687,373.64 = 280,902.40/x
  3. Step 3: Cross multiply
    458,766.78x = 687,373.64 × 280,902.40
  4. Step 4: Simplify right side
    458,766.78x = 193,084,905,172.74
  5. Step 5: Solve for x
    x = 193,084,905,172.74/458,766.78
  6. Step 6: Final answer
    x = 420,878.13

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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.