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Finding the Fourth Proportional to 302,653.83, 417,292.23 and 189,279.75

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Solution

The fourth proportional to 302,653.83, 417,292.23 and 189,279.75 is: 260,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,653.83 : 417,292.23 = 189,279.75 : x
  2. Step 2: Convert to fraction form
    302,653.83/417,292.23 = 189,279.75/x
  3. Step 3: Cross multiply
    302,653.83x = 417,292.23 × 189,279.75
  4. Step 4: Simplify right side
    302,653.83x = 78,984,968,971.34
  5. Step 5: Solve for x
    x = 78,984,968,971.34/302,653.83
  6. Step 6: Final answer
    x = 260,974.62

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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.