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Finding the Fourth Proportional to 393,013.61, 542,360.76 and 229,679.64

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Solution

The fourth proportional to 393,013.61, 542,360.76 and 229,679.64 is: 316,959.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,013.61 : 542,360.76 = 229,679.64 : x
  2. Step 2: Convert to fraction form
    393,013.61/542,360.76 = 229,679.64/x
  3. Step 3: Cross multiply
    393,013.61x = 542,360.76 × 229,679.64
  4. Step 4: Simplify right side
    393,013.61x = 124,569,224,106.93
  5. Step 5: Solve for x
    x = 124,569,224,106.93/393,013.61
  6. Step 6: Final answer
    x = 316,959.06

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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.