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Finding the Fourth Proportional to 509,437.96, 703,031.66 and 280,016.46

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Solution

The fourth proportional to 509,437.96, 703,031.66 and 280,016.46 is: 386,426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,437.96 : 703,031.66 = 280,016.46 : x
  2. Step 2: Convert to fraction form
    509,437.96/703,031.66 = 280,016.46/x
  3. Step 3: Cross multiply
    509,437.96x = 703,031.66 × 280,016.46
  4. Step 4: Simplify right side
    509,437.96x = 196,860,436,701.12
  5. Step 5: Solve for x
    x = 196,860,436,701.12/509,437.96
  6. Step 6: Final answer
    x = 386,426.71

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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.