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Finding the Fourth Proportional to 431,040.29, 646,614.05 and 146,709

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Solution

The fourth proportional to 431,040.29, 646,614.05 and 146,709 is: 220,081.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,040.29 : 646,614.05 = 146,709 : x
  2. Step 2: Convert to fraction form
    431,040.29/646,614.05 = 146,709/x
  3. Step 3: Cross multiply
    431,040.29x = 646,614.05 × 146,709
  4. Step 4: Simplify right side
    431,040.29x = 94,864,099,927.91
  5. Step 5: Solve for x
    x = 94,864,099,927.91/431,040.29
  6. Step 6: Final answer
    x = 220,081.75

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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.