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Finding the Fourth Proportional to 409,894.40, 614,841.60 and 129,375.20

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Solution

The fourth proportional to 409,894.40, 614,841.60 and 129,375.20 is: 194,062.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,894.40 : 614,841.60 = 129,375.20 : x
  2. Step 2: Convert to fraction form
    409,894.40/614,841.60 = 129,375.20/x
  3. Step 3: Cross multiply
    409,894.40x = 614,841.60 × 129,375.20
  4. Step 4: Simplify right side
    409,894.40x = 79,545,254,968.32
  5. Step 5: Solve for x
    x = 79,545,254,968.32/409,894.40
  6. Step 6: Final answer
    x = 194,062.80

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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.