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Finding the Fourth Proportional to 289,779.59, 399,857.75 and 160,716.52

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Solution

The fourth proportional to 289,779.59, 399,857.75 and 160,716.52 is: 221,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,779.59 : 399,857.75 = 160,716.52 : x
  2. Step 2: Convert to fraction form
    289,779.59/399,857.75 = 160,716.52/x
  3. Step 3: Cross multiply
    289,779.59x = 399,857.75 × 160,716.52
  4. Step 4: Simplify right side
    289,779.59x = 64,263,746,373.96
  5. Step 5: Solve for x
    x = 64,263,746,373.96/289,779.59
  6. Step 6: Final answer
    x = 221,767.67

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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.