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Finding the Fourth Proportional to 464,433.40, 697,306.20 and 287,286.40

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Solution

The fourth proportional to 464,433.40, 697,306.20 and 287,286.40 is: 431,335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,433.40 : 697,306.20 = 287,286.40 : x
  2. Step 2: Convert to fraction form
    464,433.40/697,306.20 = 287,286.40/x
  3. Step 3: Cross multiply
    464,433.40x = 697,306.20 × 287,286.40
  4. Step 4: Simplify right side
    464,433.40x = 200,326,587,895.68
  5. Step 5: Solve for x
    x = 200,326,587,895.68/464,433.40
  6. Step 6: Final answer
    x = 431,335.45

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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.