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Finding the Fourth Proportional to 495,578.70, 743,396.31 and 140,564.82

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Solution

The fourth proportional to 495,578.70, 743,396.31 and 140,564.82 is: 210,855.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,578.70 : 743,396.31 = 140,564.82 : x
  2. Step 2: Convert to fraction form
    495,578.70/743,396.31 = 140,564.82/x
  3. Step 3: Cross multiply
    495,578.70x = 743,396.31 × 140,564.82
  4. Step 4: Simplify right side
    495,578.70x = 104,495,368,503.81
  5. Step 5: Solve for x
    x = 104,495,368,503.81/495,578.70
  6. Step 6: Final answer
    x = 210,855.25

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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.