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Finding the Fourth Proportional to 454,406.40, 681,609.60 and 155,224.80

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Solution

The fourth proportional to 454,406.40, 681,609.60 and 155,224.80 is: 232,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,406.40 : 681,609.60 = 155,224.80 : x
  2. Step 2: Convert to fraction form
    454,406.40/681,609.60 = 155,224.80/x
  3. Step 3: Cross multiply
    454,406.40x = 681,609.60 × 155,224.80
  4. Step 4: Simplify right side
    454,406.40x = 105,802,713,838.08
  5. Step 5: Solve for x
    x = 105,802,713,838.08/454,406.40
  6. Step 6: Final answer
    x = 232,837.20

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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.