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Finding the Fourth Proportional to 453,980.61, 680,968.76 and 138,436.47

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Solution

The fourth proportional to 453,980.61, 680,968.76 and 138,436.47 is: 207,654.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,980.61 : 680,968.76 = 138,436.47 : x
  2. Step 2: Convert to fraction form
    453,980.61/680,968.76 = 138,436.47/x
  3. Step 3: Cross multiply
    453,980.61x = 680,968.76 × 138,436.47
  4. Step 4: Simplify right side
    453,980.61x = 94,270,910,622.49
  5. Step 5: Solve for x
    x = 94,270,910,622.49/453,980.61
  6. Step 6: Final answer
    x = 207,654.05

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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.