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Finding the Fourth Proportional to 495,477.88, 743,245.08 and 140,464

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Solution

The fourth proportional to 495,477.88, 743,245.08 and 140,464 is: 210,704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,477.88 : 743,245.08 = 140,464 : x
  2. Step 2: Convert to fraction form
    495,477.88/743,245.08 = 140,464/x
  3. Step 3: Cross multiply
    495,477.88x = 743,245.08 × 140,464
  4. Step 4: Simplify right side
    495,477.88x = 104,399,176,917.12
  5. Step 5: Solve for x
    x = 104,399,176,917.12/495,477.88
  6. Step 6: Final answer
    x = 210,704.01

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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.