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Finding the Fourth Proportional to 279,229.88, 415,686.69 and 277,569.16

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Solution

The fourth proportional to 279,229.88, 415,686.69 and 277,569.16 is: 413,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,229.88 : 415,686.69 = 277,569.16 : x
  2. Step 2: Convert to fraction form
    279,229.88/415,686.69 = 277,569.16/x
  3. Step 3: Cross multiply
    279,229.88x = 415,686.69 × 277,569.16
  4. Step 4: Simplify right side
    279,229.88x = 115,381,803,978.64
  5. Step 5: Solve for x
    x = 115,381,803,978.64/279,229.88
  6. Step 6: Final answer
    x = 413,214.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.