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Finding the Fourth Proportional to 256,617.65, 384,795.03 and 136,742.90

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Solution

The fourth proportional to 256,617.65, 384,795.03 and 136,742.90 is: 205,044.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,617.65 : 384,795.03 = 136,742.90 : x
  2. Step 2: Convert to fraction form
    256,617.65/384,795.03 = 136,742.90/x
  3. Step 3: Cross multiply
    256,617.65x = 384,795.03 × 136,742.90
  4. Step 4: Simplify right side
    256,617.65x = 52,617,988,307.79
  5. Step 5: Solve for x
    x = 52,617,988,307.79/256,617.65
  6. Step 6: Final answer
    x = 205,044.31

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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.