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Finding the Fourth Proportional to 392,064.48, 540,849.51 and 256,177.89

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Solution

The fourth proportional to 392,064.48, 540,849.51 and 256,177.89 is: 353,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,064.48 : 540,849.51 = 256,177.89 : x
  2. Step 2: Convert to fraction form
    392,064.48/540,849.51 = 256,177.89/x
  3. Step 3: Cross multiply
    392,064.48x = 540,849.51 × 256,177.89
  4. Step 4: Simplify right side
    392,064.48x = 138,553,686,279.33
  5. Step 5: Solve for x
    x = 138,553,686,279.33/392,064.48
  6. Step 6: Final answer
    x = 353,395.15

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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.