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Finding the Fourth Proportional to 343,644.72, 473,151.96 and 312,151.92

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Solution

The fourth proportional to 343,644.72, 473,151.96 and 312,151.92 is: 429,790.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,644.72 : 473,151.96 = 312,151.92 : x
  2. Step 2: Convert to fraction form
    343,644.72/473,151.96 = 312,151.92/x
  3. Step 3: Cross multiply
    343,644.72x = 473,151.96 × 312,151.92
  4. Step 4: Simplify right side
    343,644.72x = 147,695,292,765.76
  5. Step 5: Solve for x
    x = 147,695,292,765.76/343,644.72
  6. Step 6: Final answer
    x = 429,790.67

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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.