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Finding the Fourth Proportional to 384,412.80, 576,617.84 and 103,930

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Solution

The fourth proportional to 384,412.80, 576,617.84 and 103,930 is: 155,894.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,412.80 : 576,617.84 = 103,930 : x
  2. Step 2: Convert to fraction form
    384,412.80/576,617.84 = 103,930/x
  3. Step 3: Cross multiply
    384,412.80x = 576,617.84 × 103,930
  4. Step 4: Simplify right side
    384,412.80x = 59,927,892,111.20
  5. Step 5: Solve for x
    x = 59,927,892,111.20/384,412.80
  6. Step 6: Final answer
    x = 155,894.63

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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.