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Finding the Fourth Proportional to 340,078.92, 510,147 and 103,423.80

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Solution

The fourth proportional to 340,078.92, 510,147 and 103,423.80 is: 155,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,078.92 : 510,147 = 103,423.80 : x
  2. Step 2: Convert to fraction form
    340,078.92/510,147 = 103,423.80/x
  3. Step 3: Cross multiply
    340,078.92x = 510,147 × 103,423.80
  4. Step 4: Simplify right side
    340,078.92x = 52,761,341,298.60
  5. Step 5: Solve for x
    x = 52,761,341,298.60/340,078.92
  6. Step 6: Final answer
    x = 155,144.40

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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.