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Finding the Fourth Proportional to 453,737.76, 680,705.16 and 138,186.36

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Solution

The fourth proportional to 453,737.76, 680,705.16 and 138,186.36 is: 207,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,737.76 : 680,705.16 = 138,186.36 : x
  2. Step 2: Convert to fraction form
    453,737.76/680,705.16 = 138,186.36/x
  3. Step 3: Cross multiply
    453,737.76x = 680,705.16 × 138,186.36
  4. Step 4: Simplify right side
    453,737.76x = 94,064,168,293.62
  5. Step 5: Solve for x
    x = 94,064,168,293.62/453,737.76
  6. Step 6: Final answer
    x = 207,309.54

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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.