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Finding the Fourth Proportional to 495,941.40, 743,940.90 and 140,981.40

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Solution

The fourth proportional to 495,941.40, 743,940.90 and 140,981.40 is: 211,480.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,941.40 : 743,940.90 = 140,981.40 : x
  2. Step 2: Convert to fraction form
    495,941.40/743,940.90 = 140,981.40/x
  3. Step 3: Cross multiply
    495,941.40x = 743,940.90 × 140,981.40
  4. Step 4: Simplify right side
    495,941.40x = 104,881,829,599.26
  5. Step 5: Solve for x
    x = 104,881,829,599.26/495,941.40
  6. Step 6: Final answer
    x = 211,480.29

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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.