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Finding the Fourth Proportional to 340,969.84, 511,475.23 and 104,314.57

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Solution

The fourth proportional to 340,969.84, 511,475.23 and 104,314.57 is: 156,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,969.84 : 511,475.23 = 104,314.57 : x
  2. Step 2: Convert to fraction form
    340,969.84/511,475.23 = 104,314.57/x
  3. Step 3: Cross multiply
    340,969.84x = 511,475.23 × 104,314.57
  4. Step 4: Simplify right side
    340,969.84x = 53,354,317,534.81
  5. Step 5: Solve for x
    x = 53,354,317,534.81/340,969.84
  6. Step 6: Final answer
    x = 156,478.12

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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.