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Finding the Fourth Proportional to 509,973.47, 703,776.52 and 280,536.65

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Solution

The fourth proportional to 509,973.47, 703,776.52 and 280,536.65 is: 387,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,973.47 : 703,776.52 = 280,536.65 : x
  2. Step 2: Convert to fraction form
    509,973.47/703,776.52 = 280,536.65/x
  3. Step 3: Cross multiply
    509,973.47x = 703,776.52 × 280,536.65
  4. Step 4: Simplify right side
    509,973.47x = 197,435,108,327.56
  5. Step 5: Solve for x
    x = 197,435,108,327.56/509,973.47
  6. Step 6: Final answer
    x = 387,147.80

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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.