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Finding the Fourth Proportional to 308,145.70, 462,218.56 and 83,506.13

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Solution

The fourth proportional to 308,145.70, 462,218.56 and 83,506.13 is: 125,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,145.70 : 462,218.56 = 83,506.13 : x
  2. Step 2: Convert to fraction form
    308,145.70/462,218.56 = 83,506.13/x
  3. Step 3: Cross multiply
    308,145.70x = 462,218.56 × 83,506.13
  4. Step 4: Simplify right side
    308,145.70x = 38,598,083,159.77
  5. Step 5: Solve for x
    x = 38,598,083,159.77/308,145.70
  6. Step 6: Final answer
    x = 125,259.20

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1.5x scale

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.