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Finding the Fourth Proportional to 495,846.80, 744,461.40 and 309,222.80

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Solution

The fourth proportional to 495,846.80, 744,461.40 and 309,222.80 is: 464,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,846.80 : 744,461.40 = 309,222.80 : x
  2. Step 2: Convert to fraction form
    495,846.80/744,461.40 = 309,222.80/x
  3. Step 3: Cross multiply
    495,846.80x = 744,461.40 × 309,222.80
  4. Step 4: Simplify right side
    495,846.80x = 230,204,438,599.92
  5. Step 5: Solve for x
    x = 230,204,438,599.92/495,846.80
  6. Step 6: Final answer
    x = 464,265.25

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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.