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Finding the Fourth Proportional to 288,701.94, 398,401.65 and 161,392.50

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Solution

The fourth proportional to 288,701.94, 398,401.65 and 161,392.50 is: 222,717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,701.94 : 398,401.65 = 161,392.50 : x
  2. Step 2: Convert to fraction form
    288,701.94/398,401.65 = 161,392.50/x
  3. Step 3: Cross multiply
    288,701.94x = 398,401.65 × 161,392.50
  4. Step 4: Simplify right side
    288,701.94x = 64,299,038,297.63
  5. Step 5: Solve for x
    x = 64,299,038,297.63/288,701.94
  6. Step 6: Final answer
    x = 222,717.72

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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.