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Finding the Fourth Proportional to 420,952.86, 631,434.69 and 140,470.11

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Solution

The fourth proportional to 420,952.86, 631,434.69 and 140,470.11 is: 210,706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,952.86 : 631,434.69 = 140,470.11 : x
  2. Step 2: Convert to fraction form
    420,952.86/631,434.69 = 140,470.11/x
  3. Step 3: Cross multiply
    420,952.86x = 631,434.69 × 140,470.11
  4. Step 4: Simplify right side
    420,952.86x = 88,697,700,362.12
  5. Step 5: Solve for x
    x = 88,697,700,362.12/420,952.86
  6. Step 6: Final answer
    x = 210,706.97

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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.