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Finding the Fourth Proportional to 715,637, 986,538.30 and 500,107.88

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Solution

The fourth proportional to 715,637, 986,538.30 and 500,107.88 is: 689,421.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,637 : 986,538.30 = 500,107.88 : x
  2. Step 2: Convert to fraction form
    715,637/986,538.30 = 500,107.88/x
  3. Step 3: Cross multiply
    715,637x = 986,538.30 × 500,107.88
  4. Step 4: Simplify right side
    715,637x = 493,375,577,751.80
  5. Step 5: Solve for x
    x = 493,375,577,751.80/715,637
  6. Step 6: Final answer
    x = 689,421.56

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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.