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Finding the Fourth Proportional to 208,312.60, 311,679.15 and 138,328.60

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Solution

The fourth proportional to 208,312.60, 311,679.15 and 138,328.60 is: 206,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,312.60 : 311,679.15 = 138,328.60 : x
  2. Step 2: Convert to fraction form
    208,312.60/311,679.15 = 138,328.60/x
  3. Step 3: Cross multiply
    208,312.60x = 311,679.15 × 138,328.60
  4. Step 4: Simplify right side
    208,312.60x = 43,114,140,468.69
  5. Step 5: Solve for x
    x = 43,114,140,468.69/208,312.60
  6. Step 6: Final answer
    x = 206,968.47

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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.