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Finding the Fourth Proportional to 289,306.67, 433,749.78 and 120,875.15

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Solution

The fourth proportional to 289,306.67, 433,749.78 and 120,875.15 is: 181,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,306.67 : 433,749.78 = 120,875.15 : x
  2. Step 2: Convert to fraction form
    289,306.67/433,749.78 = 120,875.15/x
  3. Step 3: Cross multiply
    289,306.67x = 433,749.78 × 120,875.15
  4. Step 4: Simplify right side
    289,306.67x = 52,429,570,804.34
  5. Step 5: Solve for x
    x = 52,429,570,804.34/289,306.67
  6. Step 6: Final answer
    x = 181,224.90

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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.