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Finding the Fourth Proportional to 342,813.60, 514,220.40 and 254,458.80

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Solution

The fourth proportional to 342,813.60, 514,220.40 and 254,458.80 is: 381,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,813.60 : 514,220.40 = 254,458.80 : x
  2. Step 2: Convert to fraction form
    342,813.60/514,220.40 = 254,458.80/x
  3. Step 3: Cross multiply
    342,813.60x = 514,220.40 × 254,458.80
  4. Step 4: Simplify right side
    342,813.60x = 130,847,905,919.52
  5. Step 5: Solve for x
    x = 130,847,905,919.52/342,813.60
  6. Step 6: Final answer
    x = 381,688.20

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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.