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Finding the Fourth Proportional to 402,510.40, 604,293.20 and 269,983.60

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Solution

The fourth proportional to 402,510.40, 604,293.20 and 269,983.60 is: 405,329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,510.40 : 604,293.20 = 269,983.60 : x
  2. Step 2: Convert to fraction form
    402,510.40/604,293.20 = 269,983.60/x
  3. Step 3: Cross multiply
    402,510.40x = 604,293.20 × 269,983.60
  4. Step 4: Simplify right side
    402,510.40x = 163,149,253,591.52
  5. Step 5: Solve for x
    x = 163,149,253,591.52/402,510.40
  6. Step 6: Final answer
    x = 405,329.29

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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.