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Finding the Fourth Proportional to 647,246.16, 970,878.24 and 247,907.16

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Solution

The fourth proportional to 647,246.16, 970,878.24 and 247,907.16 is: 371,864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,246.16 : 970,878.24 = 247,907.16 : x
  2. Step 2: Convert to fraction form
    647,246.16/970,878.24 = 247,907.16/x
  3. Step 3: Cross multiply
    647,246.16x = 970,878.24 × 247,907.16
  4. Step 4: Simplify right side
    647,246.16x = 240,687,667,184.20
  5. Step 5: Solve for x
    x = 240,687,667,184.20/647,246.16
  6. Step 6: Final answer
    x = 371,864.19

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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.