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Finding the Fourth Proportional to 316,913.31, 475,370.78 and 80,256.02

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Solution

The fourth proportional to 316,913.31, 475,370.78 and 80,256.02 is: 120,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,913.31 : 475,370.78 = 80,256.02 : x
  2. Step 2: Convert to fraction form
    316,913.31/475,370.78 = 80,256.02/x
  3. Step 3: Cross multiply
    316,913.31x = 475,370.78 × 80,256.02
  4. Step 4: Simplify right side
    316,913.31x = 38,151,364,048.96
  5. Step 5: Solve for x
    x = 38,151,364,048.96/316,913.31
  6. Step 6: Final answer
    x = 120,384.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.