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Finding the Fourth Proportional to 389,857.16, 584,314.80 and 189,877.88

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Solution

The fourth proportional to 389,857.16, 584,314.80 and 189,877.88 is: 284,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,857.16 : 584,314.80 = 189,877.88 : x
  2. Step 2: Convert to fraction form
    389,857.16/584,314.80 = 189,877.88/x
  3. Step 3: Cross multiply
    389,857.16x = 584,314.80 × 189,877.88
  4. Step 4: Simplify right side
    389,857.16x = 110,948,455,476.62
  5. Step 5: Solve for x
    x = 110,948,455,476.62/389,857.16
  6. Step 6: Final answer
    x = 284,587.45

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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.