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Finding the Fourth Proportional to 289,950.24, 400,155.48 and 160,900.86

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Solution

The fourth proportional to 289,950.24, 400,155.48 and 160,900.86 is: 222,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,950.24 : 400,155.48 = 160,900.86 : x
  2. Step 2: Convert to fraction form
    289,950.24/400,155.48 = 160,900.86/x
  3. Step 3: Cross multiply
    289,950.24x = 400,155.48 × 160,900.86
  4. Step 4: Simplify right side
    289,950.24x = 64,385,360,865.71
  5. Step 5: Solve for x
    x = 64,385,360,865.71/289,950.24
  6. Step 6: Final answer
    x = 222,056.59

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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.