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Finding the Fourth Proportional to 411,034.40, 616,405.80 and 144,803.60

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Solution

The fourth proportional to 411,034.40, 616,405.80 and 144,803.60 is: 217,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,034.40 : 616,405.80 = 144,803.60 : x
  2. Step 2: Convert to fraction form
    411,034.40/616,405.80 = 144,803.60/x
  3. Step 3: Cross multiply
    411,034.40x = 616,405.80 × 144,803.60
  4. Step 4: Simplify right side
    411,034.40x = 89,257,778,900.88
  5. Step 5: Solve for x
    x = 89,257,778,900.88/411,034.40
  6. Step 6: Final answer
    x = 217,154.04

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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.