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Finding the Fourth Proportional to 302,880.71, 417,978.23 and 166,919.62

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Solution

The fourth proportional to 302,880.71, 417,978.23 and 166,919.62 is: 230,350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,880.71 : 417,978.23 = 166,919.62 : x
  2. Step 2: Convert to fraction form
    302,880.71/417,978.23 = 166,919.62/x
  3. Step 3: Cross multiply
    302,880.71x = 417,978.23 × 166,919.62
  4. Step 4: Simplify right side
    302,880.71x = 69,768,767,987.38
  5. Step 5: Solve for x
    x = 69,768,767,987.38/302,880.71
  6. Step 6: Final answer
    x = 230,350.65

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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.