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Finding the Fourth Proportional to 289,385.70, 433,732.95 and 120,905.70

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Solution

The fourth proportional to 289,385.70, 433,732.95 and 120,905.70 is: 181,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,385.70 : 433,732.95 = 120,905.70 : x
  2. Step 2: Convert to fraction form
    289,385.70/433,732.95 = 120,905.70/x
  3. Step 3: Cross multiply
    289,385.70x = 433,732.95 × 120,905.70
  4. Step 4: Simplify right side
    289,385.70x = 52,440,785,932.82
  5. Step 5: Solve for x
    x = 52,440,785,932.82/289,385.70
  6. Step 6: Final answer
    x = 181,214.16

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1.5x scale

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.