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Finding the Fourth Proportional to 308,264.28, 462,658.86 and 121,407

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Solution

The fourth proportional to 308,264.28, 462,658.86 and 121,407 is: 182,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,264.28 : 462,658.86 = 121,407 : x
  2. Step 2: Convert to fraction form
    308,264.28/462,658.86 = 121,407/x
  3. Step 3: Cross multiply
    308,264.28x = 462,658.86 × 121,407
  4. Step 4: Simplify right side
    308,264.28x = 56,170,024,216.02
  5. Step 5: Solve for x
    x = 56,170,024,216.02/308,264.28
  6. Step 6: Final answer
    x = 182,213.86

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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.