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Finding the Fourth Proportional to 389,675.80, 584,081.70 and 152,939.80

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Solution

The fourth proportional to 389,675.80, 584,081.70 and 152,939.80 is: 229,240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,675.80 : 584,081.70 = 152,939.80 : x
  2. Step 2: Convert to fraction form
    389,675.80/584,081.70 = 152,939.80/x
  3. Step 3: Cross multiply
    389,675.80x = 584,081.70 × 152,939.80
  4. Step 4: Simplify right side
    389,675.80x = 89,329,338,381.66
  5. Step 5: Solve for x
    x = 89,329,338,381.66/389,675.80
  6. Step 6: Final answer
    x = 229,240.15

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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.