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Finding the Fourth Proportional to 509,437.98, 703,031.72 and 280,016.48

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Solution

The fourth proportional to 509,437.98, 703,031.72 and 280,016.48 is: 386,426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,437.98 : 703,031.72 = 280,016.48 : x
  2. Step 2: Convert to fraction form
    509,437.98/703,031.72 = 280,016.48/x
  3. Step 3: Cross multiply
    509,437.98x = 703,031.72 × 280,016.48
  4. Step 4: Simplify right side
    509,437.98x = 196,860,467,920.24
  5. Step 5: Solve for x
    x = 196,860,467,920.24/509,437.98
  6. Step 6: Final answer
    x = 386,426.76

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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.