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Finding the Fourth Proportional to 642,398.47, 886,108.48 and 413,254.13

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Solution

The fourth proportional to 642,398.47, 886,108.48 and 413,254.13 is: 570,032.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,398.47 : 886,108.48 = 413,254.13 : x
  2. Step 2: Convert to fraction form
    642,398.47/886,108.48 = 413,254.13/x
  3. Step 3: Cross multiply
    642,398.47x = 886,108.48 × 413,254.13
  4. Step 4: Simplify right side
    642,398.47x = 366,187,983,524.35
  5. Step 5: Solve for x
    x = 366,187,983,524.35/642,398.47
  6. Step 6: Final answer
    x = 570,032.47

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1.5x scale

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.