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Finding the Fourth Proportional to 312,652.68, 431,435.14 and 176,698.28

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Solution

The fourth proportional to 312,652.68, 431,435.14 and 176,698.28 is: 243,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,652.68 : 431,435.14 = 176,698.28 : x
  2. Step 2: Convert to fraction form
    312,652.68/431,435.14 = 176,698.28/x
  3. Step 3: Cross multiply
    312,652.68x = 431,435.14 × 176,698.28
  4. Step 4: Simplify right side
    312,652.68x = 76,233,847,169.56
  5. Step 5: Solve for x
    x = 76,233,847,169.56/312,652.68
  6. Step 6: Final answer
    x = 243,829.18

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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.