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Finding the Fourth Proportional to 406,978.40, 610,384.46 and 154,171.73

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Solution

The fourth proportional to 406,978.40, 610,384.46 and 154,171.73 is: 231,226.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,978.40 : 610,384.46 = 154,171.73 : x
  2. Step 2: Convert to fraction form
    406,978.40/610,384.46 = 154,171.73/x
  3. Step 3: Cross multiply
    406,978.40x = 610,384.46 × 154,171.73
  4. Step 4: Simplify right side
    406,978.40x = 94,104,025,111.39
  5. Step 5: Solve for x
    x = 94,104,025,111.39/406,978.40
  6. Step 6: Final answer
    x = 231,226.10

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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.