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Finding the Fourth Proportional to 427,615.34, 641,416.13 and 147,135.02

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Solution

The fourth proportional to 427,615.34, 641,416.13 and 147,135.02 is: 220,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,615.34 : 641,416.13 = 147,135.02 : x
  2. Step 2: Convert to fraction form
    427,615.34/641,416.13 = 147,135.02/x
  3. Step 3: Cross multiply
    427,615.34x = 641,416.13 × 147,135.02
  4. Step 4: Simplify right side
    427,615.34x = 94,374,775,115.87
  5. Step 5: Solve for x
    x = 94,374,775,115.87/427,615.34
  6. Step 6: Final answer
    x = 220,700.16

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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.