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Finding the Fourth Proportional to 385,388.60, 578,082.90 and 136,095.80

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Solution

The fourth proportional to 385,388.60, 578,082.90 and 136,095.80 is: 204,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,388.60 : 578,082.90 = 136,095.80 : x
  2. Step 2: Convert to fraction form
    385,388.60/578,082.90 = 136,095.80/x
  3. Step 3: Cross multiply
    385,388.60x = 578,082.90 × 136,095.80
  4. Step 4: Simplify right side
    385,388.60x = 78,674,654,741.82
  5. Step 5: Solve for x
    x = 78,674,654,741.82/385,388.60
  6. Step 6: Final answer
    x = 204,143.70

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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.