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Finding the Fourth Proportional to 302,190, 417,031.38 and 166,216.92

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Solution

The fourth proportional to 302,190, 417,031.38 and 166,216.92 is: 229,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,190 : 417,031.38 = 166,216.92 : x
  2. Step 2: Convert to fraction form
    302,190/417,031.38 = 166,216.92/x
  3. Step 3: Cross multiply
    302,190x = 417,031.38 × 166,216.92
  4. Step 4: Simplify right side
    302,190x = 69,317,671,526.95
  5. Step 5: Solve for x
    x = 69,317,671,526.95/302,190
  6. Step 6: Final answer
    x = 229,384.40

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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.