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Finding the Fourth Proportional to 410,763.60, 616,145.40 and 252,478.80

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Solution

The fourth proportional to 410,763.60, 616,145.40 and 252,478.80 is: 378,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,763.60 : 616,145.40 = 252,478.80 : x
  2. Step 2: Convert to fraction form
    410,763.60/616,145.40 = 252,478.80/x
  3. Step 3: Cross multiply
    410,763.60x = 616,145.40 × 252,478.80
  4. Step 4: Simplify right side
    410,763.60x = 155,563,651,217.52
  5. Step 5: Solve for x
    x = 155,563,651,217.52/410,763.60
  6. Step 6: Final answer
    x = 378,718.20

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1.5x scale

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.