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Finding the Fourth Proportional to 415,762.80, 623,644.20 and 149,564.40

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Solution

The fourth proportional to 415,762.80, 623,644.20 and 149,564.40 is: 224,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,762.80 : 623,644.20 = 149,564.40 : x
  2. Step 2: Convert to fraction form
    415,762.80/623,644.20 = 149,564.40/x
  3. Step 3: Cross multiply
    415,762.80x = 623,644.20 × 149,564.40
  4. Step 4: Simplify right side
    415,762.80x = 93,274,970,586.48
  5. Step 5: Solve for x
    x = 93,274,970,586.48/415,762.80
  6. Step 6: Final answer
    x = 224,346.60

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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.