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Finding the Fourth Proportional to 228,978.69, 343,398.06 and 158,355.20

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Solution

The fourth proportional to 228,978.69, 343,398.06 and 158,355.20 is: 237,484.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,978.69 : 343,398.06 = 158,355.20 : x
  2. Step 2: Convert to fraction form
    228,978.69/343,398.06 = 158,355.20/x
  3. Step 3: Cross multiply
    228,978.69x = 343,398.06 × 158,355.20
  4. Step 4: Simplify right side
    228,978.69x = 54,378,866,753.92
  5. Step 5: Solve for x
    x = 54,378,866,753.92/228,978.69
  6. Step 6: Final answer
    x = 237,484.40

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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.