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Finding the Fourth Proportional to 392,831.89, 542,090.52 and 229,503.53

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Solution

The fourth proportional to 392,831.89, 542,090.52 and 229,503.53 is: 316,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,831.89 : 542,090.52 = 229,503.53 : x
  2. Step 2: Convert to fraction form
    392,831.89/542,090.52 = 229,503.53/x
  3. Step 3: Cross multiply
    392,831.89x = 542,090.52 × 229,503.53
  4. Step 4: Simplify right side
    392,831.89x = 124,411,689,274.76
  5. Step 5: Solve for x
    x = 124,411,689,274.76/392,831.89
  6. Step 6: Final answer
    x = 316,704.66

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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.