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Finding the Fourth Proportional to 222,000.69, 306,397.13 and 165,018.40

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Solution

The fourth proportional to 222,000.69, 306,397.13 and 165,018.40 is: 227,752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,000.69 : 306,397.13 = 165,018.40 : x
  2. Step 2: Convert to fraction form
    222,000.69/306,397.13 = 165,018.40/x
  3. Step 3: Cross multiply
    222,000.69x = 306,397.13 × 165,018.40
  4. Step 4: Simplify right side
    222,000.69x = 50,561,163,332.10
  5. Step 5: Solve for x
    x = 50,561,163,332.10/222,000.69
  6. Step 6: Final answer
    x = 227,752.29

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1.5x scale

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.