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Finding the Fourth Proportional to 410,429.80, 615,644.70 and 144,490.60

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Solution

The fourth proportional to 410,429.80, 615,644.70 and 144,490.60 is: 216,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,429.80 : 615,644.70 = 144,490.60 : x
  2. Step 2: Convert to fraction form
    410,429.80/615,644.70 = 144,490.60/x
  3. Step 3: Cross multiply
    410,429.80x = 615,644.70 × 144,490.60
  4. Step 4: Simplify right side
    410,429.80x = 88,954,872,089.82
  5. Step 5: Solve for x
    x = 88,954,872,089.82/410,429.80
  6. Step 6: Final answer
    x = 216,735.90

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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.