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Finding the Fourth Proportional to 495,470.88, 743,234.58 and 140,457

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Solution

The fourth proportional to 495,470.88, 743,234.58 and 140,457 is: 210,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,470.88 : 743,234.58 = 140,457 : x
  2. Step 2: Convert to fraction form
    495,470.88/743,234.58 = 140,457/x
  3. Step 3: Cross multiply
    495,470.88x = 743,234.58 × 140,457
  4. Step 4: Simplify right side
    495,470.88x = 104,392,499,403.06
  5. Step 5: Solve for x
    x = 104,392,499,403.06/495,470.88
  6. Step 6: Final answer
    x = 210,693.51

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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.