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Finding the Fourth Proportional to 579,878.80, 869,861.40 and 205,853.20

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Solution

The fourth proportional to 579,878.80, 869,861.40 and 205,853.20 is: 308,795.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,878.80 : 869,861.40 = 205,853.20 : x
  2. Step 2: Convert to fraction form
    579,878.80/869,861.40 = 205,853.20/x
  3. Step 3: Cross multiply
    579,878.80x = 869,861.40 × 205,853.20
  4. Step 4: Simplify right side
    579,878.80x = 179,063,752,746.48
  5. Step 5: Solve for x
    x = 179,063,752,746.48/579,878.80
  6. Step 6: Final answer
    x = 308,795.14

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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.