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Finding the Fourth Proportional to 647,888.72, 894,092.25 and 357,513.20

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Solution

The fourth proportional to 647,888.72, 894,092.25 and 357,513.20 is: 493,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,888.72 : 894,092.25 = 357,513.20 : x
  2. Step 2: Convert to fraction form
    647,888.72/894,092.25 = 357,513.20/x
  3. Step 3: Cross multiply
    647,888.72x = 894,092.25 × 357,513.20
  4. Step 4: Simplify right side
    647,888.72x = 319,649,781,392.70
  5. Step 5: Solve for x
    x = 319,649,781,392.70/647,888.72
  6. Step 6: Final answer
    x = 493,371.43

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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.