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Finding the Fourth Proportional to 290,005.08, 400,210.20 and 160,945.44

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Solution

The fourth proportional to 290,005.08, 400,210.20 and 160,945.44 is: 222,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,005.08 : 400,210.20 = 160,945.44 : x
  2. Step 2: Convert to fraction form
    290,005.08/400,210.20 = 160,945.44/x
  3. Step 3: Cross multiply
    290,005.08x = 400,210.20 × 160,945.44
  4. Step 4: Simplify right side
    290,005.08x = 64,412,006,731.49
  5. Step 5: Solve for x
    x = 64,412,006,731.49/290,005.08
  6. Step 6: Final answer
    x = 222,106.48

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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.