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Finding the Fourth Proportional to 289,662.16, 399,733.72 and 160,600.23

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Solution

The fourth proportional to 289,662.16, 399,733.72 and 160,600.23 is: 221,628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,662.16 : 399,733.72 = 160,600.23 : x
  2. Step 2: Convert to fraction form
    289,662.16/399,733.72 = 160,600.23/x
  3. Step 3: Cross multiply
    289,662.16x = 399,733.72 × 160,600.23
  4. Step 4: Simplify right side
    289,662.16x = 64,197,327,370.76
  5. Step 5: Solve for x
    x = 64,197,327,370.76/289,662.16
  6. Step 6: Final answer
    x = 221,628.28

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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.