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Finding the Fourth Proportional to 410,860.20, 615,080.70 and 306,143.40

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Solution

The fourth proportional to 410,860.20, 615,080.70 and 306,143.40 is: 458,313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,860.20 : 615,080.70 = 306,143.40 : x
  2. Step 2: Convert to fraction form
    410,860.20/615,080.70 = 306,143.40/x
  3. Step 3: Cross multiply
    410,860.20x = 615,080.70 × 306,143.40
  4. Step 4: Simplify right side
    410,860.20x = 188,302,896,772.38
  5. Step 5: Solve for x
    x = 188,302,896,772.38/410,860.20
  6. Step 6: Final answer
    x = 458,313.79

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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.