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Finding the Fourth Proportional to 302,889.74, 417,990.70 and 166,928.66

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Solution

The fourth proportional to 302,889.74, 417,990.70 and 166,928.66 is: 230,363.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,889.74 : 417,990.70 = 166,928.66 : x
  2. Step 2: Convert to fraction form
    302,889.74/417,990.70 = 166,928.66/x
  3. Step 3: Cross multiply
    302,889.74x = 417,990.70 × 166,928.66
  4. Step 4: Simplify right side
    302,889.74x = 69,774,627,443.46
  5. Step 5: Solve for x
    x = 69,774,627,443.46/302,889.74
  6. Step 6: Final answer
    x = 230,363.13

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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.