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Finding the Fourth Proportional to 257,328.80, 386,338.80 and 164,247.20

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Solution

The fourth proportional to 257,328.80, 386,338.80 and 164,247.20 is: 246,591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,328.80 : 386,338.80 = 164,247.20 : x
  2. Step 2: Convert to fraction form
    257,328.80/386,338.80 = 164,247.20/x
  3. Step 3: Cross multiply
    257,328.80x = 386,338.80 × 164,247.20
  4. Step 4: Simplify right side
    257,328.80x = 63,455,066,151.36
  5. Step 5: Solve for x
    x = 63,455,066,151.36/257,328.80
  6. Step 6: Final answer
    x = 246,591.39

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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.