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Finding the Fourth Proportional to 458,301.60, 686,674.80 and 378,986.40

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Solution

The fourth proportional to 458,301.60, 686,674.80 and 378,986.40 is: 567,836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,301.60 : 686,674.80 = 378,986.40 : x
  2. Step 2: Convert to fraction form
    458,301.60/686,674.80 = 378,986.40/x
  3. Step 3: Cross multiply
    458,301.60x = 686,674.80 × 378,986.40
  4. Step 4: Simplify right side
    458,301.60x = 260,240,410,422.72
  5. Step 5: Solve for x
    x = 260,240,410,422.72/458,301.60
  6. Step 6: Final answer
    x = 567,836.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.