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Finding the Fourth Proportional to 412,645.07, 619,060.95 and 146,405.90

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Solution

The fourth proportional to 412,645.07, 619,060.95 and 146,405.90 is: 219,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,645.07 : 619,060.95 = 146,405.90 : x
  2. Step 2: Convert to fraction form
    412,645.07/619,060.95 = 146,405.90/x
  3. Step 3: Cross multiply
    412,645.07x = 619,060.95 × 146,405.90
  4. Step 4: Simplify right side
    412,645.07x = 90,634,172,444.30
  5. Step 5: Solve for x
    x = 90,634,172,444.30/412,645.07
  6. Step 6: Final answer
    x = 219,641.96

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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.