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Finding the Fourth Proportional to 413,543.80, 620,315.70 and 133,089.40

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Solution

The fourth proportional to 413,543.80, 620,315.70 and 133,089.40 is: 199,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,543.80 : 620,315.70 = 133,089.40 : x
  2. Step 2: Convert to fraction form
    413,543.80/620,315.70 = 133,089.40/x
  3. Step 3: Cross multiply
    413,543.80x = 620,315.70 × 133,089.40
  4. Step 4: Simplify right side
    413,543.80x = 82,557,444,323.58
  5. Step 5: Solve for x
    x = 82,557,444,323.58/413,543.80
  6. Step 6: Final answer
    x = 199,634.10

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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.