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Finding the Fourth Proportional to 402,838.40, 604,238.40 and 136,572.80

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Solution

The fourth proportional to 402,838.40, 604,238.40 and 136,572.80 is: 204,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,838.40 : 604,238.40 = 136,572.80 : x
  2. Step 2: Convert to fraction form
    402,838.40/604,238.40 = 136,572.80/x
  3. Step 3: Cross multiply
    402,838.40x = 604,238.40 × 136,572.80
  4. Step 4: Simplify right side
    402,838.40x = 82,522,530,155.52
  5. Step 5: Solve for x
    x = 82,522,530,155.52/402,838.40
  6. Step 6: Final answer
    x = 204,852.69

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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.