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Finding the Fourth Proportional to 342,809.50, 473,077.11 and 191,909.74

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Solution

The fourth proportional to 342,809.50, 473,077.11 and 191,909.74 is: 264,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,809.50 : 473,077.11 = 191,909.74 : x
  2. Step 2: Convert to fraction form
    342,809.50/473,077.11 = 191,909.74/x
  3. Step 3: Cross multiply
    342,809.50x = 473,077.11 × 191,909.74
  4. Step 4: Simplify right side
    342,809.50x = 90,788,105,180.05
  5. Step 5: Solve for x
    x = 90,788,105,180.05/342,809.50
  6. Step 6: Final answer
    x = 264,835.44

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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.