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Finding the Fourth Proportional to 238,301, 357,342.49 and 142,281.79

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Solution

The fourth proportional to 238,301, 357,342.49 and 142,281.79 is: 213,357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,301 : 357,342.49 = 142,281.79 : x
  2. Step 2: Convert to fraction form
    238,301/357,342.49 = 142,281.79/x
  3. Step 3: Cross multiply
    238,301x = 357,342.49 × 142,281.79
  4. Step 4: Simplify right side
    238,301x = 50,843,329,120.26
  5. Step 5: Solve for x
    x = 50,843,329,120.26/238,301
  6. Step 6: Final answer
    x = 213,357.60

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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.