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Finding the Fourth Proportional to 412,814.61, 618,624.27 and 284,599.29

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Solution

The fourth proportional to 412,814.61, 618,624.27 and 284,599.29 is: 426,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,814.61 : 618,624.27 = 284,599.29 : x
  2. Step 2: Convert to fraction form
    412,814.61/618,624.27 = 284,599.29/x
  3. Step 3: Cross multiply
    412,814.61x = 618,624.27 × 284,599.29
  4. Step 4: Simplify right side
    412,814.61x = 176,060,028,018.77
  5. Step 5: Solve for x
    x = 176,060,028,018.77/412,814.61
  6. Step 6: Final answer
    x = 426,486.91

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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.