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Finding the Fourth Proportional to 453,314.20, 679,971.30 and 137,730.10

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Solution

The fourth proportional to 453,314.20, 679,971.30 and 137,730.10 is: 206,595.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,314.20 : 679,971.30 = 137,730.10 : x
  2. Step 2: Convert to fraction form
    453,314.20/679,971.30 = 137,730.10/x
  3. Step 3: Cross multiply
    453,314.20x = 679,971.30 × 137,730.10
  4. Step 4: Simplify right side
    453,314.20x = 93,652,515,146.13
  5. Step 5: Solve for x
    x = 93,652,515,146.13/453,314.20
  6. Step 6: Final answer
    x = 206,595.15

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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.