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Finding the Fourth Proportional to 412,945.93, 570,109.69 and 260,115.12

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Solution

The fourth proportional to 412,945.93, 570,109.69 and 260,115.12 is: 359,112.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,945.93 : 570,109.69 = 260,115.12 : x
  2. Step 2: Convert to fraction form
    412,945.93/570,109.69 = 260,115.12/x
  3. Step 3: Cross multiply
    412,945.93x = 570,109.69 × 260,115.12
  4. Step 4: Simplify right side
    412,945.93x = 148,294,150,427.51
  5. Step 5: Solve for x
    x = 148,294,150,427.51/412,945.93
  6. Step 6: Final answer
    x = 359,112.75

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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.