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Finding the Fourth Proportional to 274,468.08, 411,644.40 and 77,430

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Solution

The fourth proportional to 274,468.08, 411,644.40 and 77,430 is: 116,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,468.08 : 411,644.40 = 77,430 : x
  2. Step 2: Convert to fraction form
    274,468.08/411,644.40 = 77,430/x
  3. Step 3: Cross multiply
    274,468.08x = 411,644.40 × 77,430
  4. Step 4: Simplify right side
    274,468.08x = 31,873,625,892
  5. Step 5: Solve for x
    x = 31,873,625,892/274,468.08
  6. Step 6: Final answer
    x = 116,128.72

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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.