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Finding the Fourth Proportional to 349,818.32, 521,999.22 and 312,119.30

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Solution

The fourth proportional to 349,818.32, 521,999.22 and 312,119.30 is: 465,744.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,818.32 : 521,999.22 = 312,119.30 : x
  2. Step 2: Convert to fraction form
    349,818.32/521,999.22 = 312,119.30/x
  3. Step 3: Cross multiply
    349,818.32x = 521,999.22 × 312,119.30
  4. Step 4: Simplify right side
    349,818.32x = 162,926,033,622.39
  5. Step 5: Solve for x
    x = 162,926,033,622.39/349,818.32
  6. Step 6: Final answer
    x = 465,744.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.