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Finding the Fourth Proportional to 285,395.58, 393,848.80 and 172,196.46

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Solution

The fourth proportional to 285,395.58, 393,848.80 and 172,196.46 is: 237,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,395.58 : 393,848.80 = 172,196.46 : x
  2. Step 2: Convert to fraction form
    285,395.58/393,848.80 = 172,196.46/x
  3. Step 3: Cross multiply
    285,395.58x = 393,848.80 × 172,196.46
  4. Step 4: Simplify right side
    285,395.58x = 67,819,369,135.25
  5. Step 5: Solve for x
    x = 67,819,369,135.25/285,395.58
  6. Step 6: Final answer
    x = 237,632.86

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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.