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Finding the Fourth Proportional to 307,951.82, 421,886.93 and 296,438.45

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Solution

The fourth proportional to 307,951.82, 421,886.93 and 296,438.45 is: 406,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,951.82 : 421,886.93 = 296,438.45 : x
  2. Step 2: Convert to fraction form
    307,951.82/421,886.93 = 296,438.45/x
  3. Step 3: Cross multiply
    307,951.82x = 421,886.93 × 296,438.45
  4. Step 4: Simplify right side
    307,951.82x = 125,063,506,122.27
  5. Step 5: Solve for x
    x = 125,063,506,122.27/307,951.82
  6. Step 6: Final answer
    x = 406,113.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.