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Finding the Fourth Proportional to 302,302.40, 417,004.02 and 188,928.32

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Solution

The fourth proportional to 302,302.40, 417,004.02 and 188,928.32 is: 260,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,302.40 : 417,004.02 = 188,928.32 : x
  2. Step 2: Convert to fraction form
    302,302.40/417,004.02 = 188,928.32/x
  3. Step 3: Cross multiply
    302,302.40x = 417,004.02 × 188,928.32
  4. Step 4: Simplify right side
    302,302.40x = 78,783,868,931.85
  5. Step 5: Solve for x
    x = 78,783,868,931.85/302,302.40
  6. Step 6: Final answer
    x = 260,612.78

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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.