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Finding the Fourth Proportional to 256,320, 353,701.68 and 148,872.48

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Solution

The fourth proportional to 256,320, 353,701.68 and 148,872.48 is: 205,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,320 : 353,701.68 = 148,872.48 : x
  2. Step 2: Convert to fraction form
    256,320/353,701.68 = 148,872.48/x
  3. Step 3: Cross multiply
    256,320x = 353,701.68 × 148,872.48
  4. Step 4: Simplify right side
    256,320x = 52,656,446,281.77
  5. Step 5: Solve for x
    x = 52,656,446,281.77/256,320
  6. Step 6: Final answer
    x = 205,432.45

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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.