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Finding the Fourth Proportional to 458,619.60, 686,568.60 and 340,813.20

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Solution

The fourth proportional to 458,619.60, 686,568.60 and 340,813.20 is: 510,208.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,619.60 : 686,568.60 = 340,813.20 : x
  2. Step 2: Convert to fraction form
    458,619.60/686,568.60 = 340,813.20/x
  3. Step 3: Cross multiply
    458,619.60x = 686,568.60 × 340,813.20
  4. Step 4: Simplify right side
    458,619.60x = 233,991,641,585.52
  5. Step 5: Solve for x
    x = 233,991,641,585.52/458,619.60
  6. Step 6: Final answer
    x = 510,208.55

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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.