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Finding the Fourth Proportional to 645,204.72, 890,377.92 and 358,722.48

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Solution

The fourth proportional to 645,204.72, 890,377.92 and 358,722.48 is: 495,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,204.72 : 890,377.92 = 358,722.48 : x
  2. Step 2: Convert to fraction form
    645,204.72/890,377.92 = 358,722.48/x
  3. Step 3: Cross multiply
    645,204.72x = 890,377.92 × 358,722.48
  4. Step 4: Simplify right side
    645,204.72x = 319,398,575,599.64
  5. Step 5: Solve for x
    x = 319,398,575,599.64/645,204.72
  6. Step 6: Final answer
    x = 495,034.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.