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Finding the Fourth Proportional to 288,697.78, 433,018.83 and 88,964.53

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Solution

The fourth proportional to 288,697.78, 433,018.83 and 88,964.53 is: 133,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,697.78 : 433,018.83 = 88,964.53 : x
  2. Step 2: Convert to fraction form
    288,697.78/433,018.83 = 88,964.53/x
  3. Step 3: Cross multiply
    288,697.78x = 433,018.83 × 88,964.53
  4. Step 4: Simplify right side
    288,697.78x = 38,523,316,692.10
  5. Step 5: Solve for x
    x = 38,523,316,692.10/288,697.78
  6. Step 6: Final answer
    x = 133,438.22

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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.