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Finding the Fourth Proportional to 243,530.40, 365,353.20 and 77,318.40

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Solution

The fourth proportional to 243,530.40, 365,353.20 and 77,318.40 is: 115,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,530.40 : 365,353.20 = 77,318.40 : x
  2. Step 2: Convert to fraction form
    243,530.40/365,353.20 = 77,318.40/x
  3. Step 3: Cross multiply
    243,530.40x = 365,353.20 × 77,318.40
  4. Step 4: Simplify right side
    243,530.40x = 28,248,524,858.88
  5. Step 5: Solve for x
    x = 28,248,524,858.88/243,530.40
  6. Step 6: Final answer
    x = 115,995.89

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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.