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Finding the Fourth Proportional to 475,086.40, 712,917.60 and 194,574.40

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Solution

The fourth proportional to 475,086.40, 712,917.60 and 194,574.40 is: 291,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,086.40 : 712,917.60 = 194,574.40 : x
  2. Step 2: Convert to fraction form
    475,086.40/712,917.60 = 194,574.40/x
  3. Step 3: Cross multiply
    475,086.40x = 712,917.60 × 194,574.40
  4. Step 4: Simplify right side
    475,086.40x = 138,715,514,269.44
  5. Step 5: Solve for x
    x = 138,715,514,269.44/475,086.40
  6. Step 6: Final answer
    x = 291,979.55

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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.