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Finding the Fourth Proportional to 349,122.32, 523,871.16 and 138,762

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Solution

The fourth proportional to 349,122.32, 523,871.16 and 138,762 is: 208,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,122.32 : 523,871.16 = 138,762 : x
  2. Step 2: Convert to fraction form
    349,122.32/523,871.16 = 138,762/x
  3. Step 3: Cross multiply
    349,122.32x = 523,871.16 × 138,762
  4. Step 4: Simplify right side
    349,122.32x = 72,693,409,903.92
  5. Step 5: Solve for x
    x = 72,693,409,903.92/349,122.32
  6. Step 6: Final answer
    x = 208,217.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.