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Finding the Fourth Proportional to 412,913.68, 619,432.08 and 146,651.86

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Solution

The fourth proportional to 412,913.68, 619,432.08 and 146,651.86 is: 219,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,913.68 : 619,432.08 = 146,651.86 : x
  2. Step 2: Convert to fraction form
    412,913.68/619,432.08 = 146,651.86/x
  3. Step 3: Cross multiply
    412,913.68x = 619,432.08 × 146,651.86
  4. Step 4: Simplify right side
    412,913.68x = 90,840,866,675.67
  5. Step 5: Solve for x
    x = 90,840,866,675.67/412,913.68
  6. Step 6: Final answer
    x = 219,999.65

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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.