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Finding the Fourth Proportional to 454,658.40, 681,922.80 and 155,152.80

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Solution

The fourth proportional to 454,658.40, 681,922.80 and 155,152.80 is: 232,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,658.40 : 681,922.80 = 155,152.80 : x
  2. Step 2: Convert to fraction form
    454,658.40/681,922.80 = 155,152.80/x
  3. Step 3: Cross multiply
    454,658.40x = 681,922.80 × 155,152.80
  4. Step 4: Simplify right side
    454,658.40x = 105,802,231,803.84
  5. Step 5: Solve for x
    x = 105,802,231,803.84/454,658.40
  6. Step 6: Final answer
    x = 232,707.09

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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.