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Finding the Fourth Proportional to 427,697.34, 641,539.29 and 147,217.02

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Solution

The fourth proportional to 427,697.34, 641,539.29 and 147,217.02 is: 220,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,697.34 : 641,539.29 = 147,217.02 : x
  2. Step 2: Convert to fraction form
    427,697.34/641,539.29 = 147,217.02/x
  3. Step 3: Cross multiply
    427,697.34x = 641,539.29 × 147,217.02
  4. Step 4: Simplify right side
    427,697.34x = 94,445,502,486.72
  5. Step 5: Solve for x
    x = 94,445,502,486.72/427,697.34
  6. Step 6: Final answer
    x = 220,823.22

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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.