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Finding the Fourth Proportional to 349,920, 524,957.76 and 128,304

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Solution

The fourth proportional to 349,920, 524,957.76 and 128,304 is: 192,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,920 : 524,957.76 = 128,304 : x
  2. Step 2: Convert to fraction form
    349,920/524,957.76 = 128,304/x
  3. Step 3: Cross multiply
    349,920x = 524,957.76 × 128,304
  4. Step 4: Simplify right side
    349,920x = 67,354,180,439.04
  5. Step 5: Solve for x
    x = 67,354,180,439.04/349,920
  6. Step 6: Final answer
    x = 192,484.51

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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.