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Finding the Fourth Proportional to 464,551.80, 697,265.10 and 287,404.80

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Solution

The fourth proportional to 464,551.80, 697,265.10 and 287,404.80 is: 431,377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,551.80 : 697,265.10 = 287,404.80 : x
  2. Step 2: Convert to fraction form
    464,551.80/697,265.10 = 287,404.80/x
  3. Step 3: Cross multiply
    464,551.80x = 697,265.10 × 287,404.80
  4. Step 4: Simplify right side
    464,551.80x = 200,397,336,612.48
  5. Step 5: Solve for x
    x = 200,397,336,612.48/464,551.80
  6. Step 6: Final answer
    x = 431,377.81

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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.