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Finding the Fourth Proportional to 410,478.68, 615,810.36 and 144,257.60

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Solution

The fourth proportional to 410,478.68, 615,810.36 and 144,257.60 is: 216,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,478.68 : 615,810.36 = 144,257.60 : x
  2. Step 2: Convert to fraction form
    410,478.68/615,810.36 = 144,257.60/x
  3. Step 3: Cross multiply
    410,478.68x = 615,810.36 × 144,257.60
  4. Step 4: Simplify right side
    410,478.68x = 88,835,324,588.74
  5. Step 5: Solve for x
    x = 88,835,324,588.74/410,478.68
  6. Step 6: Final answer
    x = 216,418.85

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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.