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Finding the Fourth Proportional to 702,947.98, 970,103.52 and 412,572.12

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Solution

The fourth proportional to 702,947.98, 970,103.52 and 412,572.12 is: 569,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,947.98 : 970,103.52 = 412,572.12 : x
  2. Step 2: Convert to fraction form
    702,947.98/970,103.52 = 412,572.12/x
  3. Step 3: Cross multiply
    702,947.98x = 970,103.52 × 412,572.12
  4. Step 4: Simplify right side
    702,947.98x = 400,237,665,865.86
  5. Step 5: Solve for x
    x = 400,237,665,865.86/702,947.98
  6. Step 6: Final answer
    x = 569,370.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.