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Finding the Fourth Proportional to 412,805.96, 569,670 and 229,042.82

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Solution

The fourth proportional to 412,805.96, 569,670 and 229,042.82 is: 316,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,805.96 : 569,670 = 229,042.82 : x
  2. Step 2: Convert to fraction form
    412,805.96/569,670 = 229,042.82/x
  3. Step 3: Cross multiply
    412,805.96x = 569,670 × 229,042.82
  4. Step 4: Simplify right side
    412,805.96x = 130,478,820,421.05
  5. Step 5: Solve for x
    x = 130,478,820,421.05/412,805.96
  6. Step 6: Final answer
    x = 316,077.85

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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.