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Finding the Fourth Proportional to 435,752.40, 653,628.60 and 310,414.80

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Solution

The fourth proportional to 435,752.40, 653,628.60 and 310,414.80 is: 465,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,752.40 : 653,628.60 = 310,414.80 : x
  2. Step 2: Convert to fraction form
    435,752.40/653,628.60 = 310,414.80/x
  3. Step 3: Cross multiply
    435,752.40x = 653,628.60 × 310,414.80
  4. Step 4: Simplify right side
    435,752.40x = 202,895,991,143.28
  5. Step 5: Solve for x
    x = 202,895,991,143.28/435,752.40
  6. Step 6: Final answer
    x = 465,622.20

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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.