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Finding the Fourth Proportional to 340,098.60, 510,147.90 and 228,124.20

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Solution

The fourth proportional to 340,098.60, 510,147.90 and 228,124.20 is: 342,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,098.60 : 510,147.90 = 228,124.20 : x
  2. Step 2: Convert to fraction form
    340,098.60/510,147.90 = 228,124.20/x
  3. Step 3: Cross multiply
    340,098.60x = 510,147.90 × 228,124.20
  4. Step 4: Simplify right side
    340,098.60x = 116,377,081,569.18
  5. Step 5: Solve for x
    x = 116,377,081,569.18/340,098.60
  6. Step 6: Final answer
    x = 342,186.30

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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.