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Finding the Fourth Proportional to 495,465, 743,234.57 and 140,507.61

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Solution

The fourth proportional to 495,465, 743,234.57 and 140,507.61 is: 210,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,465 : 743,234.57 = 140,507.61 : x
  2. Step 2: Convert to fraction form
    495,465/743,234.57 = 140,507.61/x
  3. Step 3: Cross multiply
    495,465x = 743,234.57 × 140,507.61
  4. Step 4: Simplify right side
    495,465x = 104,430,112,397.54
  5. Step 5: Solve for x
    x = 104,430,112,397.54/495,465
  6. Step 6: Final answer
    x = 210,771.93

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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.