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Finding the Fourth Proportional to 412,780.61, 618,296.10 and 311,828.69

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Solution

The fourth proportional to 412,780.61, 618,296.10 and 311,828.69 is: 467,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,780.61 : 618,296.10 = 311,828.69 : x
  2. Step 2: Convert to fraction form
    412,780.61/618,296.10 = 311,828.69/x
  3. Step 3: Cross multiply
    412,780.61x = 618,296.10 × 311,828.69
  4. Step 4: Simplify right side
    412,780.61x = 192,802,459,803.63
  5. Step 5: Solve for x
    x = 192,802,459,803.63/412,780.61
  6. Step 6: Final answer
    x = 467,082.17

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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.