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Finding the Fourth Proportional to 347,406.32, 520,701.24 and 147,602

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Solution

The fourth proportional to 347,406.32, 520,701.24 and 147,602 is: 221,229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,406.32 : 520,701.24 = 147,602 : x
  2. Step 2: Convert to fraction form
    347,406.32/520,701.24 = 147,602/x
  3. Step 3: Cross multiply
    347,406.32x = 520,701.24 × 147,602
  4. Step 4: Simplify right side
    347,406.32x = 76,856,544,426.48
  5. Step 5: Solve for x
    x = 76,856,544,426.48/347,406.32
  6. Step 6: Final answer
    x = 221,229.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.