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Finding the Fourth Proportional to 340,410.90, 510,725.70 and 228,217.80

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Solution

The fourth proportional to 340,410.90, 510,725.70 and 228,217.80 is: 342,400.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,410.90 : 510,725.70 = 228,217.80 : x
  2. Step 2: Convert to fraction form
    340,410.90/510,725.70 = 228,217.80/x
  3. Step 3: Cross multiply
    340,410.90x = 510,725.70 × 228,217.80
  4. Step 4: Simplify right side
    340,410.90x = 116,556,695,657.46
  5. Step 5: Solve for x
    x = 116,556,695,657.46/340,410.90
  6. Step 6: Final answer
    x = 342,400.01

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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.