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Finding the Fourth Proportional to 509,988.16, 703,779.77 and 280,540.51

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Solution

The fourth proportional to 509,988.16, 703,779.77 and 280,540.51 is: 387,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,988.16 : 703,779.77 = 280,540.51 : x
  2. Step 2: Convert to fraction form
    509,988.16/703,779.77 = 280,540.51/x
  3. Step 3: Cross multiply
    509,988.16x = 703,779.77 × 280,540.51
  4. Step 4: Simplify right side
    509,988.16x = 197,438,734,545.39
  5. Step 5: Solve for x
    x = 197,438,734,545.39/509,988.16
  6. Step 6: Final answer
    x = 387,143.76

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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.