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Finding the Fourth Proportional to 509,417.73, 703,002.92 and 280,000.01

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Solution

The fourth proportional to 509,417.73, 703,002.92 and 280,000.01 is: 386,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,417.73 : 703,002.92 = 280,000.01 : x
  2. Step 2: Convert to fraction form
    509,417.73/703,002.92 = 280,000.01/x
  3. Step 3: Cross multiply
    509,417.73x = 703,002.92 × 280,000.01
  4. Step 4: Simplify right side
    509,417.73x = 196,840,824,987.54
  5. Step 5: Solve for x
    x = 196,840,824,987.54/509,417.73
  6. Step 6: Final answer
    x = 386,403.56

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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.