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Finding the Fourth Proportional to 291,496.66, 402,255.90 and 178,319.40

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Solution

The fourth proportional to 291,496.66, 402,255.90 and 178,319.40 is: 246,074.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,496.66 : 402,255.90 = 178,319.40 : x
  2. Step 2: Convert to fraction form
    291,496.66/402,255.90 = 178,319.40/x
  3. Step 3: Cross multiply
    291,496.66x = 402,255.90 × 178,319.40
  4. Step 4: Simplify right side
    291,496.66x = 71,730,030,734.46
  5. Step 5: Solve for x
    x = 71,730,030,734.46/291,496.66
  6. Step 6: Final answer
    x = 246,074.97

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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.