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Finding the Fourth Proportional to 238,281.44, 328,902.20 and 153,398.50

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Solution

The fourth proportional to 238,281.44, 328,902.20 and 153,398.50 is: 211,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,281.44 : 328,902.20 = 153,398.50 : x
  2. Step 2: Convert to fraction form
    238,281.44/328,902.20 = 153,398.50/x
  3. Step 3: Cross multiply
    238,281.44x = 328,902.20 × 153,398.50
  4. Step 4: Simplify right side
    238,281.44x = 50,453,103,359.71
  5. Step 5: Solve for x
    x = 50,453,103,359.71/238,281.44
  6. Step 6: Final answer
    x = 211,737.45

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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.