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Finding the Fourth Proportional to 306,886.32, 460,572.47 and 129,515.76

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Solution

The fourth proportional to 306,886.32, 460,572.47 and 129,515.76 is: 194,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,886.32 : 460,572.47 = 129,515.76 : x
  2. Step 2: Convert to fraction form
    306,886.32/460,572.47 = 129,515.76/x
  3. Step 3: Cross multiply
    306,886.32x = 460,572.47 × 129,515.76
  4. Step 4: Simplify right side
    306,886.32x = 59,651,393,487.13
  5. Step 5: Solve for x
    x = 59,651,393,487.13/306,886.32
  6. Step 6: Final answer
    x = 194,376.19

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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.