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Finding the Fourth Proportional to 384,803.60, 576,696.92 and 278,542.80

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Solution

The fourth proportional to 384,803.60, 576,696.92 and 278,542.80 is: 417,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,803.60 : 576,696.92 = 278,542.80 : x
  2. Step 2: Convert to fraction form
    384,803.60/576,696.92 = 278,542.80/x
  3. Step 3: Cross multiply
    384,803.60x = 576,696.92 × 278,542.80
  4. Step 4: Simplify right side
    384,803.60x = 160,634,773,455.46
  5. Step 5: Solve for x
    x = 160,634,773,455.46/384,803.60
  6. Step 6: Final answer
    x = 417,446.13

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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.