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Finding the Fourth Proportional to 509,625.57, 703,283.73 and 280,186.76

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Solution

The fourth proportional to 509,625.57, 703,283.73 and 280,186.76 is: 386,657.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,625.57 : 703,283.73 = 280,186.76 : x
  2. Step 2: Convert to fraction form
    509,625.57/703,283.73 = 280,186.76/x
  3. Step 3: Cross multiply
    509,625.57x = 703,283.73 × 280,186.76
  4. Step 4: Simplify right side
    509,625.57x = 197,050,787,911.21
  5. Step 5: Solve for x
    x = 197,050,787,911.21/509,625.57
  6. Step 6: Final answer
    x = 386,657.97

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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.