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Finding the Fourth Proportional to 302,659.95, 417,470.72 and 189,285.87

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Solution

The fourth proportional to 302,659.95, 417,470.72 and 189,285.87 is: 261,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,659.95 : 417,470.72 = 189,285.87 : x
  2. Step 2: Convert to fraction form
    302,659.95/417,470.72 = 189,285.87/x
  3. Step 3: Cross multiply
    302,659.95x = 417,470.72 × 189,285.87
  4. Step 4: Simplify right side
    302,659.95x = 79,021,307,488.30
  5. Step 5: Solve for x
    x = 79,021,307,488.30/302,659.95
  6. Step 6: Final answer
    x = 261,089.41

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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.