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Finding the Fourth Proportional to 312,770, 469,241.40 and 91,154

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Solution

The fourth proportional to 312,770, 469,241.40 and 91,154 is: 136,756.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,770 : 469,241.40 = 91,154 : x
  2. Step 2: Convert to fraction form
    312,770/469,241.40 = 91,154/x
  3. Step 3: Cross multiply
    312,770x = 469,241.40 × 91,154
  4. Step 4: Simplify right side
    312,770x = 42,773,230,575.60
  5. Step 5: Solve for x
    x = 42,773,230,575.60/312,770
  6. Step 6: Final answer
    x = 136,756.18

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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.