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Finding the Fourth Proportional to 340,002.60, 509,858.10 and 171,457.80

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Solution

The fourth proportional to 340,002.60, 509,858.10 and 171,457.80 is: 257,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,002.60 : 509,858.10 = 171,457.80 : x
  2. Step 2: Convert to fraction form
    340,002.60/509,858.10 = 171,457.80/x
  3. Step 3: Cross multiply
    340,002.60x = 509,858.10 × 171,457.80
  4. Step 4: Simplify right side
    340,002.60x = 87,419,148,138.18
  5. Step 5: Solve for x
    x = 87,419,148,138.18/340,002.60
  6. Step 6: Final answer
    x = 257,113.18

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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.