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Finding the Fourth Proportional to 342,038.50, 472,013.13 and 191,135.50

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Solution

The fourth proportional to 342,038.50, 472,013.13 and 191,135.50 is: 263,766.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,038.50 : 472,013.13 = 191,135.50 : x
  2. Step 2: Convert to fraction form
    342,038.50/472,013.13 = 191,135.50/x
  3. Step 3: Cross multiply
    342,038.50x = 472,013.13 × 191,135.50
  4. Step 4: Simplify right side
    342,038.50x = 90,218,465,609.12
  5. Step 5: Solve for x
    x = 90,218,465,609.12/342,038.50
  6. Step 6: Final answer
    x = 263,766.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.