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Finding the Fourth Proportional to 509,875.56, 703,645.32 and 280,442.52

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Solution

The fourth proportional to 509,875.56, 703,645.32 and 280,442.52 is: 387,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,875.56 : 703,645.32 = 280,442.52 : x
  2. Step 2: Convert to fraction form
    509,875.56/703,645.32 = 280,442.52/x
  3. Step 3: Cross multiply
    509,875.56x = 703,645.32 × 280,442.52
  4. Step 4: Simplify right side
    509,875.56x = 197,332,066,727.01
  5. Step 5: Solve for x
    x = 197,332,066,727.01/509,875.56
  6. Step 6: Final answer
    x = 387,020.05

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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.