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Finding the Fourth Proportional to 356,102.40, 534,499.20 and 178,809.60

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Solution

The fourth proportional to 356,102.40, 534,499.20 and 178,809.60 is: 268,387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,102.40 : 534,499.20 = 178,809.60 : x
  2. Step 2: Convert to fraction form
    356,102.40/534,499.20 = 178,809.60/x
  3. Step 3: Cross multiply
    356,102.40x = 534,499.20 × 178,809.60
  4. Step 4: Simplify right side
    356,102.40x = 95,573,588,152.32
  5. Step 5: Solve for x
    x = 95,573,588,152.32/356,102.40
  6. Step 6: Final answer
    x = 268,387.94

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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.