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Finding the Fourth Proportional to 412,999.69, 619,368.25 and 280,729.93

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Solution

The fourth proportional to 412,999.69, 619,368.25 and 280,729.93 is: 421,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,999.69 : 619,368.25 = 280,729.93 : x
  2. Step 2: Convert to fraction form
    412,999.69/619,368.25 = 280,729.93/x
  3. Step 3: Cross multiply
    412,999.69x = 619,368.25 × 280,729.93
  4. Step 4: Simplify right side
    412,999.69x = 173,875,205,466.72
  5. Step 5: Solve for x
    x = 173,875,205,466.72/412,999.69
  6. Step 6: Final answer
    x = 421,005.66

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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.