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Finding the Fourth Proportional to 646,663.92, 969,397.96 and 330,423.72

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Solution

The fourth proportional to 646,663.92, 969,397.96 and 330,423.72 is: 495,330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,663.92 : 969,397.96 = 330,423.72 : x
  2. Step 2: Convert to fraction form
    646,663.92/969,397.96 = 330,423.72/x
  3. Step 3: Cross multiply
    646,663.92x = 969,397.96 × 330,423.72
  4. Step 4: Simplify right side
    646,663.92x = 320,312,080,103.61
  5. Step 5: Solve for x
    x = 320,312,080,103.61/646,663.92
  6. Step 6: Final answer
    x = 495,330.06

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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.