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Finding the Fourth Proportional to 520,032, 780,048 and 126,048

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Solution

The fourth proportional to 520,032, 780,048 and 126,048 is: 189,072

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,032 : 780,048 = 126,048 : x
  2. Step 2: Convert to fraction form
    520,032/780,048 = 126,048/x
  3. Step 3: Cross multiply
    520,032x = 780,048 × 126,048
  4. Step 4: Simplify right side
    520,032x = 98,323,490,304
  5. Step 5: Solve for x
    x = 98,323,490,304/520,032
  6. Step 6: Final answer
    x = 189,072

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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.