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Finding the Fourth Proportional to 312,953.83, 431,899.48 and 175,146.57

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Solution

The fourth proportional to 312,953.83, 431,899.48 and 175,146.57 is: 241,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,953.83 : 431,899.48 = 175,146.57 : x
  2. Step 2: Convert to fraction form
    312,953.83/431,899.48 = 175,146.57/x
  3. Step 3: Cross multiply
    312,953.83x = 431,899.48 × 175,146.57
  4. Step 4: Simplify right side
    312,953.83x = 75,645,711,667.03
  5. Step 5: Solve for x
    x = 75,645,711,667.03/312,953.83
  6. Step 6: Final answer
    x = 241,715.24

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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.