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Finding the Fourth Proportional to 392,780.94, 542,053.35 and 223,030.86

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Solution

The fourth proportional to 392,780.94, 542,053.35 and 223,030.86 is: 307,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,780.94 : 542,053.35 = 223,030.86 : x
  2. Step 2: Convert to fraction form
    392,780.94/542,053.35 = 223,030.86/x
  3. Step 3: Cross multiply
    392,780.94x = 542,053.35 × 223,030.86
  4. Step 4: Simplify right side
    392,780.94x = 120,894,624,816.38
  5. Step 5: Solve for x
    x = 120,894,624,816.38/392,780.94
  6. Step 6: Final answer
    x = 307,791.47

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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.