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Finding the Fourth Proportional to 481,871.49, 722,681.28 and 144,822

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Solution

The fourth proportional to 481,871.49, 722,681.28 and 144,822 is: 217,195.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,871.49 : 722,681.28 = 144,822 : x
  2. Step 2: Convert to fraction form
    481,871.49/722,681.28 = 144,822/x
  3. Step 3: Cross multiply
    481,871.49x = 722,681.28 × 144,822
  4. Step 4: Simplify right side
    481,871.49x = 104,660,148,332.16
  5. Step 5: Solve for x
    x = 104,660,148,332.16/481,871.49
  6. Step 6: Final answer
    x = 217,195.15

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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.