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Finding the Fourth Proportional to 638,127, 880,626.24 and 412,166.16

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Solution

The fourth proportional to 638,127, 880,626.24 and 412,166.16 is: 568,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,127 : 880,626.24 = 412,166.16 : x
  2. Step 2: Convert to fraction form
    638,127/880,626.24 = 412,166.16/x
  3. Step 3: Cross multiply
    638,127x = 880,626.24 × 412,166.16
  4. Step 4: Simplify right side
    638,127x = 362,964,335,736.04
  5. Step 5: Solve for x
    x = 362,964,335,736.04/638,127
  6. Step 6: Final answer
    x = 568,796.39

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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.