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Finding the Fourth Proportional to 412,902.90, 619,354.35 and 349,917.30

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Solution

The fourth proportional to 412,902.90, 619,354.35 and 349,917.30 is: 524,875.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,902.90 : 619,354.35 = 349,917.30 : x
  2. Step 2: Convert to fraction form
    412,902.90/619,354.35 = 349,917.30/x
  3. Step 3: Cross multiply
    412,902.90x = 619,354.35 × 349,917.30
  4. Step 4: Simplify right side
    412,902.90x = 216,722,801,895.26
  5. Step 5: Solve for x
    x = 216,722,801,895.26/412,902.90
  6. Step 6: Final answer
    x = 524,875.95

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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.