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Finding the Fourth Proportional to 406,981.40, 610,388.96 and 154,174.73

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Solution

The fourth proportional to 406,981.40, 610,388.96 and 154,174.73 is: 231,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,981.40 : 610,388.96 = 154,174.73 : x
  2. Step 2: Convert to fraction form
    406,981.40/610,388.96 = 154,174.73/x
  3. Step 3: Cross multiply
    406,981.40x = 610,388.96 × 154,174.73
  4. Step 4: Simplify right side
    406,981.40x = 94,106,552,332.11
  5. Step 5: Solve for x
    x = 94,106,552,332.11/406,981.40
  6. Step 6: Final answer
    x = 231,230.60

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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.