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Finding the Fourth Proportional to 412,875.60, 569,109.84 and 310,747.52

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Solution

The fourth proportional to 412,875.60, 569,109.84 and 310,747.52 is: 428,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,875.60 : 569,109.84 = 310,747.52 : x
  2. Step 2: Convert to fraction form
    412,875.60/569,109.84 = 310,747.52/x
  3. Step 3: Cross multiply
    412,875.60x = 569,109.84 × 310,747.52
  4. Step 4: Simplify right side
    412,875.60x = 176,849,471,387.60
  5. Step 5: Solve for x
    x = 176,849,471,387.60/412,875.60
  6. Step 6: Final answer
    x = 428,335.97

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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.