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Finding the Fourth Proportional to 257,880.96, 386,640 and 99,976.32

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Solution

The fourth proportional to 257,880.96, 386,640 and 99,976.32 is: 149,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,880.96 : 386,640 = 99,976.32 : x
  2. Step 2: Convert to fraction form
    257,880.96/386,640 = 99,976.32/x
  3. Step 3: Cross multiply
    257,880.96x = 386,640 × 99,976.32
  4. Step 4: Simplify right side
    257,880.96x = 38,654,844,364.80
  5. Step 5: Solve for x
    x = 38,654,844,364.80/257,880.96
  6. Step 6: Final answer
    x = 149,894.14

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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.