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Finding the Fourth Proportional to 415,985.86, 623,978.79 and 149,740.48

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Solution

The fourth proportional to 415,985.86, 623,978.79 and 149,740.48 is: 224,610.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,985.86 : 623,978.79 = 149,740.48 : x
  2. Step 2: Convert to fraction form
    415,985.86/623,978.79 = 149,740.48/x
  3. Step 3: Cross multiply
    415,985.86x = 623,978.79 × 149,740.48
  4. Step 4: Simplify right side
    415,985.86x = 93,434,883,524.42
  5. Step 5: Solve for x
    x = 93,434,883,524.42/415,985.86
  6. Step 6: Final answer
    x = 224,610.72

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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.