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Finding the Fourth Proportional to 385,749.80, 578,624.70 and 136,399.40

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Solution

The fourth proportional to 385,749.80, 578,624.70 and 136,399.40 is: 204,599.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,749.80 : 578,624.70 = 136,399.40 : x
  2. Step 2: Convert to fraction form
    385,749.80/578,624.70 = 136,399.40/x
  3. Step 3: Cross multiply
    385,749.80x = 578,624.70 × 136,399.40
  4. Step 4: Simplify right side
    385,749.80x = 78,924,061,905.18
  5. Step 5: Solve for x
    x = 78,924,061,905.18/385,749.80
  6. Step 6: Final answer
    x = 204,599.10

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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.