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Finding the Fourth Proportional to 288,931, 433,334.92 and 111,379

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Solution

The fourth proportional to 288,931, 433,334.92 and 111,379 is: 167,044.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,931 : 433,334.92 = 111,379 : x
  2. Step 2: Convert to fraction form
    288,931/433,334.92 = 111,379/x
  3. Step 3: Cross multiply
    288,931x = 433,334.92 × 111,379
  4. Step 4: Simplify right side
    288,931x = 48,264,410,054.68
  5. Step 5: Solve for x
    x = 48,264,410,054.68/288,931
  6. Step 6: Final answer
    x = 167,044.76

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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.