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Finding the Fourth Proportional to 285,708.66, 394,281.54 and 164,875.02

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Solution

The fourth proportional to 285,708.66, 394,281.54 and 164,875.02 is: 227,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,708.66 : 394,281.54 = 164,875.02 : x
  2. Step 2: Convert to fraction form
    285,708.66/394,281.54 = 164,875.02/x
  3. Step 3: Cross multiply
    285,708.66x = 394,281.54 × 164,875.02
  4. Step 4: Simplify right side
    285,708.66x = 65,007,176,793.13
  5. Step 5: Solve for x
    x = 65,007,176,793.13/285,708.66
  6. Step 6: Final answer
    x = 227,529.60

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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.