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Finding the Fourth Proportional to 470,178.72, 705,387.42 and 217,641.24

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Solution

The fourth proportional to 470,178.72, 705,387.42 and 217,641.24 is: 326,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,178.72 : 705,387.42 = 217,641.24 : x
  2. Step 2: Convert to fraction form
    470,178.72/705,387.42 = 217,641.24/x
  3. Step 3: Cross multiply
    470,178.72x = 705,387.42 × 217,641.24
  4. Step 4: Simplify right side
    470,178.72x = 153,521,392,769.20
  5. Step 5: Solve for x
    x = 153,521,392,769.20/470,178.72
  6. Step 6: Final answer
    x = 326,517.10

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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.