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Finding the Fourth Proportional to 509,812.35, 703,559.10 and 280,387.38

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Solution

The fourth proportional to 509,812.35, 703,559.10 and 280,387.38 is: 386,944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,812.35 : 703,559.10 = 280,387.38 : x
  2. Step 2: Convert to fraction form
    509,812.35/703,559.10 = 280,387.38/x
  3. Step 3: Cross multiply
    509,812.35x = 703,559.10 × 280,387.38
  4. Step 4: Simplify right side
    509,812.35x = 197,269,092,724.16
  5. Step 5: Solve for x
    x = 197,269,092,724.16/509,812.35
  6. Step 6: Final answer
    x = 386,944.52

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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.