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Finding the Fourth Proportional to 311,112.01, 429,312.32 and 175,138.93

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Solution

The fourth proportional to 311,112.01, 429,312.32 and 175,138.93 is: 241,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,112.01 : 429,312.32 = 175,138.93 : x
  2. Step 2: Convert to fraction form
    311,112.01/429,312.32 = 175,138.93/x
  3. Step 3: Cross multiply
    311,112.01x = 429,312.32 × 175,138.93
  4. Step 4: Simplify right side
    311,112.01x = 75,189,299,484.92
  5. Step 5: Solve for x
    x = 75,189,299,484.92/311,112.01
  6. Step 6: Final answer
    x = 241,679.19

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1.5x scale

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.