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Finding the Fourth Proportional to 464,736.20, 697,104.30 and 287,443.40

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Solution

The fourth proportional to 464,736.20, 697,104.30 and 287,443.40 is: 431,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,736.20 : 697,104.30 = 287,443.40 : x
  2. Step 2: Convert to fraction form
    464,736.20/697,104.30 = 287,443.40/x
  3. Step 3: Cross multiply
    464,736.20x = 697,104.30 × 287,443.40
  4. Step 4: Simplify right side
    464,736.20x = 200,378,030,146.62
  5. Step 5: Solve for x
    x = 200,378,030,146.62/464,736.20
  6. Step 6: Final answer
    x = 431,165.10

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1.5x scale

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.