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Finding the Fourth Proportional to 1,687,976.78, 2,531,965.20 and 506,024.78

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Solution

The fourth proportional to 1,687,976.78, 2,531,965.20 and 506,024.78 is: 759,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687,976.78 : 2,531,965.20 = 506,024.78 : x
  2. Step 2: Convert to fraction form
    1,687,976.78/2,531,965.20 = 506,024.78/x
  3. Step 3: Cross multiply
    1,687,976.78x = 2,531,965.20 × 506,024.78
  4. Step 4: Simplify right side
    1,687,976.78x = 1,281,237,133,297.66
  5. Step 5: Solve for x
    x = 1,281,237,133,297.66/1,687,976.78
  6. Step 6: Final answer
    x = 759,037.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.