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Finding the Fourth Proportional to 495,854.80, 744,473.40 and 309,230.80

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Solution

The fourth proportional to 495,854.80, 744,473.40 and 309,230.80 is: 464,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,854.80 : 744,473.40 = 309,230.80 : x
  2. Step 2: Convert to fraction form
    495,854.80/744,473.40 = 309,230.80/x
  3. Step 3: Cross multiply
    495,854.80x = 744,473.40 × 309,230.80
  4. Step 4: Simplify right side
    495,854.80x = 230,214,105,060.72
  5. Step 5: Solve for x
    x = 230,214,105,060.72/495,854.80
  6. Step 6: Final answer
    x = 464,277.25

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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.