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Finding the Fourth Proportional to 410,011.30, 615,016.95 and 223,387.30

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Solution

The fourth proportional to 410,011.30, 615,016.95 and 223,387.30 is: 335,080.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,011.30 : 615,016.95 = 223,387.30 : x
  2. Step 2: Convert to fraction form
    410,011.30/615,016.95 = 223,387.30/x
  3. Step 3: Cross multiply
    410,011.30x = 615,016.95 × 223,387.30
  4. Step 4: Simplify right side
    410,011.30x = 137,386,975,914.74
  5. Step 5: Solve for x
    x = 137,386,975,914.74/410,011.30
  6. Step 6: Final answer
    x = 335,080.95

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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.