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Finding the Fourth Proportional to 406,958, 610,524.48 and 137,112.96

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Solution

The fourth proportional to 406,958, 610,524.48 and 137,112.96 is: 205,698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,958 : 610,524.48 = 137,112.96 : x
  2. Step 2: Convert to fraction form
    406,958/610,524.48 = 137,112.96/x
  3. Step 3: Cross multiply
    406,958x = 610,524.48 × 137,112.96
  4. Step 4: Simplify right side
    406,958x = 83,710,818,605.26
  5. Step 5: Solve for x
    x = 83,710,818,605.26/406,958
  6. Step 6: Final answer
    x = 205,698.91

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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.