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Finding the Fourth Proportional to 279,691.76, 385,971.16 and 152,364.64

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Solution

The fourth proportional to 279,691.76, 385,971.16 and 152,364.64 is: 210,261.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,691.76 : 385,971.16 = 152,364.64 : x
  2. Step 2: Convert to fraction form
    279,691.76/385,971.16 = 152,364.64/x
  3. Step 3: Cross multiply
    279,691.76x = 385,971.16 × 152,364.64
  4. Step 4: Simplify right side
    279,691.76x = 58,808,356,843.78
  5. Step 5: Solve for x
    x = 58,808,356,843.78/279,691.76
  6. Step 6: Final answer
    x = 210,261.31

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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.