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Finding the Fourth Proportional to 289,495, 399,503.10 and 162,170.56

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Solution

The fourth proportional to 289,495, 399,503.10 and 162,170.56 is: 223,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,495 : 399,503.10 = 162,170.56 : x
  2. Step 2: Convert to fraction form
    289,495/399,503.10 = 162,170.56/x
  3. Step 3: Cross multiply
    289,495x = 399,503.10 × 162,170.56
  4. Step 4: Simplify right side
    289,495x = 64,787,641,448.74
  5. Step 5: Solve for x
    x = 64,787,641,448.74/289,495
  6. Step 6: Final answer
    x = 223,795.37

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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.