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Finding the Fourth Proportional to 402,209.40, 603,270.90 and 106,721.40

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Solution

The fourth proportional to 402,209.40, 603,270.90 and 106,721.40 is: 160,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,209.40 : 603,270.90 = 106,721.40 : x
  2. Step 2: Convert to fraction form
    402,209.40/603,270.90 = 106,721.40/x
  3. Step 3: Cross multiply
    402,209.40x = 603,270.90 × 106,721.40
  4. Step 4: Simplify right side
    402,209.40x = 64,381,915,027.26
  5. Step 5: Solve for x
    x = 64,381,915,027.26/402,209.40
  6. Step 6: Final answer
    x = 160,070.64

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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.