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Finding the Fourth Proportional to 742,198.11, 1,024,229.11 and 402,659.07

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Solution

The fourth proportional to 742,198.11, 1,024,229.11 and 402,659.07 is: 555,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,198.11 : 1,024,229.11 = 402,659.07 : x
  2. Step 2: Convert to fraction form
    742,198.11/1,024,229.11 = 402,659.07/x
  3. Step 3: Cross multiply
    742,198.11x = 1,024,229.11 × 402,659.07
  4. Step 4: Simplify right side
    742,198.11x = 412,415,140,899.53
  5. Step 5: Solve for x
    x = 412,415,140,899.53/742,198.11
  6. Step 6: Final answer
    x = 555,667.19

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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.