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Finding the Fourth Proportional to 306,964.90, 460,509.86 and 129,472.57

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Solution

The fourth proportional to 306,964.90, 460,509.86 and 129,472.57 is: 194,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,964.90 : 460,509.86 = 129,472.57 : x
  2. Step 2: Convert to fraction form
    306,964.90/460,509.86 = 129,472.57/x
  3. Step 3: Cross multiply
    306,964.90x = 460,509.86 × 129,472.57
  4. Step 4: Simplify right side
    306,964.90x = 59,623,394,437.18
  5. Step 5: Solve for x
    x = 59,623,394,437.18/306,964.90
  6. Step 6: Final answer
    x = 194,235.22

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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.