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Finding the Fourth Proportional to 257,095.80, 385,643.70 and 166,894.20

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Solution

The fourth proportional to 257,095.80, 385,643.70 and 166,894.20 is: 250,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,095.80 : 385,643.70 = 166,894.20 : x
  2. Step 2: Convert to fraction form
    257,095.80/385,643.70 = 166,894.20/x
  3. Step 3: Cross multiply
    257,095.80x = 385,643.70 × 166,894.20
  4. Step 4: Simplify right side
    257,095.80x = 64,361,696,796.54
  5. Step 5: Solve for x
    x = 64,361,696,796.54/257,095.80
  6. Step 6: Final answer
    x = 250,341.30

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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.