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Finding the Fourth Proportional to 402,987.94, 604,353.20 and 133,065.82

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Solution

The fourth proportional to 402,987.94, 604,353.20 and 133,065.82 is: 199,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,987.94 : 604,353.20 = 133,065.82 : x
  2. Step 2: Convert to fraction form
    402,987.94/604,353.20 = 133,065.82/x
  3. Step 3: Cross multiply
    402,987.94x = 604,353.20 × 133,065.82
  4. Step 4: Simplify right side
    402,987.94x = 80,418,754,966.23
  5. Step 5: Solve for x
    x = 80,418,754,966.23/402,987.94
  6. Step 6: Final answer
    x = 199,556.23

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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.