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Finding the Fourth Proportional to 389,612.80, 583,987.20 and 152,876.80

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Solution

The fourth proportional to 389,612.80, 583,987.20 and 152,876.80 is: 229,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,612.80 : 583,987.20 = 152,876.80 : x
  2. Step 2: Convert to fraction form
    389,612.80/583,987.20 = 152,876.80/x
  3. Step 3: Cross multiply
    389,612.80x = 583,987.20 × 152,876.80
  4. Step 4: Simplify right side
    389,612.80x = 89,278,094,376.96
  5. Step 5: Solve for x
    x = 89,278,094,376.96/389,612.80
  6. Step 6: Final answer
    x = 229,145.69

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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.