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Finding the Fourth Proportional to 288,690, 398,389.77 and 166,206.36

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Solution

The fourth proportional to 288,690, 398,389.77 and 166,206.36 is: 229,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,690 : 398,389.77 = 166,206.36 : x
  2. Step 2: Convert to fraction form
    288,690/398,389.77 = 166,206.36/x
  3. Step 3: Cross multiply
    288,690x = 398,389.77 × 166,206.36
  4. Step 4: Simplify right side
    288,690x = 66,214,913,532.94
  5. Step 5: Solve for x
    x = 66,214,913,532.94/288,690
  6. Step 6: Final answer
    x = 229,363.38

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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.