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Finding the Fourth Proportional to 497,300.10, 744,200.55 and 455,309.70

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Solution

The fourth proportional to 497,300.10, 744,200.55 and 455,309.70 is: 681,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,300.10 : 744,200.55 = 455,309.70 : x
  2. Step 2: Convert to fraction form
    497,300.10/744,200.55 = 455,309.70/x
  3. Step 3: Cross multiply
    497,300.10x = 744,200.55 × 455,309.70
  4. Step 4: Simplify right side
    497,300.10x = 338,841,729,160.34
  5. Step 5: Solve for x
    x = 338,841,729,160.34/497,300.10
  6. Step 6: Final answer
    x = 681,362.68

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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.