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Finding the Fourth Proportional to 435,640.80, 653,461.20 and 380,344.80

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Solution

The fourth proportional to 435,640.80, 653,461.20 and 380,344.80 is: 570,517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,640.80 : 653,461.20 = 380,344.80 : x
  2. Step 2: Convert to fraction form
    435,640.80/653,461.20 = 380,344.80/x
  3. Step 3: Cross multiply
    435,640.80x = 653,461.20 × 380,344.80
  4. Step 4: Simplify right side
    435,640.80x = 248,540,569,421.76
  5. Step 5: Solve for x
    x = 248,540,569,421.76/435,640.80
  6. Step 6: Final answer
    x = 570,517.20

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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.