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Finding the Fourth Proportional to 342,437.85, 513,726.84 and 117,769.05

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Solution

The fourth proportional to 342,437.85, 513,726.84 and 117,769.05 is: 176,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,437.85 : 513,726.84 = 117,769.05 : x
  2. Step 2: Convert to fraction form
    342,437.85/513,726.84 = 117,769.05/x
  3. Step 3: Cross multiply
    342,437.85x = 513,726.84 × 117,769.05
  4. Step 4: Simplify right side
    342,437.85x = 60,501,121,906.30
  5. Step 5: Solve for x
    x = 60,501,121,906.30/342,437.85
  6. Step 6: Final answer
    x = 176,677.67

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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.