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Finding the Fourth Proportional to 285,497.55, 393,976.17 and 164,643.93

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Solution

The fourth proportional to 285,497.55, 393,976.17 and 164,643.93 is: 227,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,497.55 : 393,976.17 = 164,643.93 : x
  2. Step 2: Convert to fraction form
    285,497.55/393,976.17 = 164,643.93/x
  3. Step 3: Cross multiply
    285,497.55x = 393,976.17 × 164,643.93
  4. Step 4: Simplify right side
    285,497.55x = 64,865,784,955.15
  5. Step 5: Solve for x
    x = 64,865,784,955.15/285,497.55
  6. Step 6: Final answer
    x = 227,202.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.