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Finding the Fourth Proportional to 289,945, 400,124.82 and 169,169.32

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Solution

The fourth proportional to 289,945, 400,124.82 and 169,169.32 is: 233,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,945 : 400,124.82 = 169,169.32 : x
  2. Step 2: Convert to fraction form
    289,945/400,124.82 = 169,169.32/x
  3. Step 3: Cross multiply
    289,945x = 400,124.82 × 169,169.32
  4. Step 4: Simplify right side
    289,945x = 67,688,843,714.52
  5. Step 5: Solve for x
    x = 67,688,843,714.52/289,945
  6. Step 6: Final answer
    x = 233,454.08

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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.