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Finding the Fourth Proportional to 284,259.68, 392,297.28 and 188,601.92

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Solution

The fourth proportional to 284,259.68, 392,297.28 and 188,601.92 is: 260,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,259.68 : 392,297.28 = 188,601.92 : x
  2. Step 2: Convert to fraction form
    284,259.68/392,297.28 = 188,601.92/x
  3. Step 3: Cross multiply
    284,259.68x = 392,297.28 × 188,601.92
  4. Step 4: Simplify right side
    284,259.68x = 73,988,020,218.78
  5. Step 5: Solve for x
    x = 73,988,020,218.78/284,259.68
  6. Step 6: Final answer
    x = 260,283.20

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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.