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Finding the Fourth Proportional to 302,915.11, 418,005.80 and 166,948.64

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Solution

The fourth proportional to 302,915.11, 418,005.80 and 166,948.64 is: 230,379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,915.11 : 418,005.80 = 166,948.64 : x
  2. Step 2: Convert to fraction form
    302,915.11/418,005.80 = 166,948.64/x
  3. Step 3: Cross multiply
    302,915.11x = 418,005.80 × 166,948.64
  4. Step 4: Simplify right side
    302,915.11x = 69,785,499,822.11
  5. Step 5: Solve for x
    x = 69,785,499,822.11/302,915.11
  6. Step 6: Final answer
    x = 230,379.73

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1.5x scale

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.