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Finding the Fourth Proportional to 415,552, 623,431.68 and 120,064

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Solution

The fourth proportional to 415,552, 623,431.68 and 120,064 is: 180,125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,552 : 623,431.68 = 120,064 : x
  2. Step 2: Convert to fraction form
    415,552/623,431.68 = 120,064/x
  3. Step 3: Cross multiply
    415,552x = 623,431.68 × 120,064
  4. Step 4: Simplify right side
    415,552x = 74,851,701,227.52
  5. Step 5: Solve for x
    x = 74,851,701,227.52/415,552
  6. Step 6: Final answer
    x = 180,125.96

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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.