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Finding the Fourth Proportional to 509,609.92, 703,275.40 and 280,176.88

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Solution

The fourth proportional to 509,609.92, 703,275.40 and 280,176.88 is: 386,651.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,609.92 : 703,275.40 = 280,176.88 : x
  2. Step 2: Convert to fraction form
    509,609.92/703,275.40 = 280,176.88/x
  3. Step 3: Cross multiply
    509,609.92x = 703,275.40 × 280,176.88
  4. Step 4: Simplify right side
    509,609.92x = 197,041,507,352.75
  5. Step 5: Solve for x
    x = 197,041,507,352.75/509,609.92
  6. Step 6: Final answer
    x = 386,651.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.