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Finding the Fourth Proportional to 709,080.16, 978,529 and 386,790.26

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Solution

The fourth proportional to 709,080.16, 978,529 and 386,790.26 is: 533,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,080.16 : 978,529 = 386,790.26 : x
  2. Step 2: Convert to fraction form
    709,080.16/978,529 = 386,790.26/x
  3. Step 3: Cross multiply
    709,080.16x = 978,529 × 386,790.26
  4. Step 4: Simplify right side
    709,080.16x = 378,485,486,327.54
  5. Step 5: Solve for x
    x = 378,485,486,327.54/709,080.16
  6. Step 6: Final answer
    x = 533,769.67

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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.