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Finding the Fourth Proportional to 285,807.66, 394,386.15 and 164,987.86

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Solution

The fourth proportional to 285,807.66, 394,386.15 and 164,987.86 is: 227,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,807.66 : 394,386.15 = 164,987.86 : x
  2. Step 2: Convert to fraction form
    285,807.66/394,386.15 = 164,987.86/x
  3. Step 3: Cross multiply
    285,807.66x = 394,386.15 × 164,987.86
  4. Step 4: Simplify right side
    285,807.66x = 65,068,926,902.14
  5. Step 5: Solve for x
    x = 65,068,926,902.14/285,807.66
  6. Step 6: Final answer
    x = 227,666.84

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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.