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Finding the Fourth Proportional to 511,276.92, 705,614.88 and 307,394.52

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Solution

The fourth proportional to 511,276.92, 705,614.88 and 307,394.52 is: 424,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,276.92 : 705,614.88 = 307,394.52 : x
  2. Step 2: Convert to fraction form
    511,276.92/705,614.88 = 307,394.52/x
  3. Step 3: Cross multiply
    511,276.92x = 705,614.88 × 307,394.52
  4. Step 4: Simplify right side
    511,276.92x = 216,902,147,342.46
  5. Step 5: Solve for x
    x = 216,902,147,342.46/511,276.92
  6. Step 6: Final answer
    x = 424,236.14

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1.5x scale

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.