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Finding the Fourth Proportional to 478,105.96, 717,075.80 and 178,589.10

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Solution

The fourth proportional to 478,105.96, 717,075.80 and 178,589.10 is: 267,852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,105.96 : 717,075.80 = 178,589.10 : x
  2. Step 2: Convert to fraction form
    478,105.96/717,075.80 = 178,589.10/x
  3. Step 3: Cross multiply
    478,105.96x = 717,075.80 × 178,589.10
  4. Step 4: Simplify right side
    478,105.96x = 128,061,921,753.78
  5. Step 5: Solve for x
    x = 128,061,921,753.78/478,105.96
  6. Step 6: Final answer
    x = 267,852.59

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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.