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Finding the Fourth Proportional to 274,443.60, 411,607.76 and 77,405.52

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Solution

The fourth proportional to 274,443.60, 411,607.76 and 77,405.52 is: 116,092.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,443.60 : 411,607.76 = 77,405.52 : x
  2. Step 2: Convert to fraction form
    274,443.60/411,607.76 = 77,405.52/x
  3. Step 3: Cross multiply
    274,443.60x = 411,607.76 × 77,405.52
  4. Step 4: Simplify right side
    274,443.60x = 31,860,712,698.84
  5. Step 5: Solve for x
    x = 31,860,712,698.84/274,443.60
  6. Step 6: Final answer
    x = 116,092.02

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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.