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Finding the Fourth Proportional to 553,463.80, 830,196.30 and 154,105.44

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Solution

The fourth proportional to 553,463.80, 830,196.30 and 154,105.44 is: 231,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,463.80 : 830,196.30 = 154,105.44 : x
  2. Step 2: Convert to fraction form
    553,463.80/830,196.30 = 154,105.44/x
  3. Step 3: Cross multiply
    553,463.80x = 830,196.30 × 154,105.44
  4. Step 4: Simplify right side
    553,463.80x = 127,937,766,097.87
  5. Step 5: Solve for x
    x = 127,937,766,097.87/553,463.80
  6. Step 6: Final answer
    x = 231,158.33

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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.