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Finding the Fourth Proportional to 495,844.80, 744,458.40 and 309,220.80

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Solution

The fourth proportional to 495,844.80, 744,458.40 and 309,220.80 is: 464,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,844.80 : 744,458.40 = 309,220.80 : x
  2. Step 2: Convert to fraction form
    495,844.80/744,458.40 = 309,220.80/x
  3. Step 3: Cross multiply
    495,844.80x = 744,458.40 × 309,220.80
  4. Step 4: Simplify right side
    495,844.80x = 230,202,022,014.72
  5. Step 5: Solve for x
    x = 230,202,022,014.72/495,844.80
  6. Step 6: Final answer
    x = 464,262.25

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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.