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Finding the Fourth Proportional to 453,610.76, 678,755.20 and 429,278.08

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Solution

The fourth proportional to 453,610.76, 678,755.20 and 429,278.08 is: 642,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,610.76 : 678,755.20 = 429,278.08 : x
  2. Step 2: Convert to fraction form
    453,610.76/678,755.20 = 429,278.08/x
  3. Step 3: Cross multiply
    453,610.76x = 678,755.20 × 429,278.08
  4. Step 4: Simplify right side
    453,610.76x = 291,374,729,046.02
  5. Step 5: Solve for x
    x = 291,374,729,046.02/453,610.76
  6. Step 6: Final answer
    x = 642,345.28

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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.