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Finding the Fourth Proportional to 349,820, 524,818.56 and 100,502

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Solution

The fourth proportional to 349,820, 524,818.56 and 100,502 is: 150,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,820 : 524,818.56 = 100,502 : x
  2. Step 2: Convert to fraction form
    349,820/524,818.56 = 100,502/x
  3. Step 3: Cross multiply
    349,820x = 524,818.56 × 100,502
  4. Step 4: Simplify right side
    349,820x = 52,745,314,917.12
  5. Step 5: Solve for x
    x = 52,745,314,917.12/349,820
  6. Step 6: Final answer
    x = 150,778.44

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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.