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Finding the Fourth Proportional to 453,531.76, 680,396.06 and 137,980.48

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Solution

The fourth proportional to 453,531.76, 680,396.06 and 137,980.48 is: 207,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,531.76 : 680,396.06 = 137,980.48 : x
  2. Step 2: Convert to fraction form
    453,531.76/680,396.06 = 137,980.48/x
  3. Step 3: Cross multiply
    453,531.76x = 680,396.06 × 137,980.48
  4. Step 4: Simplify right side
    453,531.76x = 93,881,374,948.91
  5. Step 5: Solve for x
    x = 93,881,374,948.91/453,531.76
  6. Step 6: Final answer
    x = 207,000.66

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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.