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Finding the Fourth Proportional to 311,881.59, 430,360.44 and 175,917.77

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Solution

The fourth proportional to 311,881.59, 430,360.44 and 175,917.77 is: 242,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,881.59 : 430,360.44 = 175,917.77 : x
  2. Step 2: Convert to fraction form
    311,881.59/430,360.44 = 175,917.77/x
  3. Step 3: Cross multiply
    311,881.59x = 430,360.44 × 175,917.77
  4. Step 4: Simplify right side
    311,881.59x = 75,708,051,113.69
  5. Step 5: Solve for x
    x = 75,708,051,113.69/311,881.59
  6. Step 6: Final answer
    x = 242,746.14

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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.