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Finding the Fourth Proportional to 475,411, 656,067.18 and 284,432.44

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Solution

The fourth proportional to 475,411, 656,067.18 and 284,432.44 is: 392,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,411 : 656,067.18 = 284,432.44 : x
  2. Step 2: Convert to fraction form
    475,411/656,067.18 = 284,432.44/x
  3. Step 3: Cross multiply
    475,411x = 656,067.18 × 284,432.44
  4. Step 4: Simplify right side
    475,411x = 186,606,788,811.32
  5. Step 5: Solve for x
    x = 186,606,788,811.32/475,411
  6. Step 6: Final answer
    x = 392,516.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.