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Finding the Fourth Proportional to 228,669.69, 342,630.34 and 138,438.93

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Solution

The fourth proportional to 228,669.69, 342,630.34 and 138,438.93 is: 207,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,669.69 : 342,630.34 = 138,438.93 : x
  2. Step 2: Convert to fraction form
    228,669.69/342,630.34 = 138,438.93/x
  3. Step 3: Cross multiply
    228,669.69x = 342,630.34 × 138,438.93
  4. Step 4: Simplify right side
    228,669.69x = 47,433,376,666.61
  5. Step 5: Solve for x
    x = 47,433,376,666.61/228,669.69
  6. Step 6: Final answer
    x = 207,431.85

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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.