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Finding the Fourth Proportional to 219,592.64, 302,926.56 and 138,884.24

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Solution

The fourth proportional to 219,592.64, 302,926.56 and 138,884.24 is: 191,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,592.64 : 302,926.56 = 138,884.24 : x
  2. Step 2: Convert to fraction form
    219,592.64/302,926.56 = 138,884.24/x
  3. Step 3: Cross multiply
    219,592.64x = 302,926.56 × 138,884.24
  4. Step 4: Simplify right side
    219,592.64x = 42,071,725,061.41
  5. Step 5: Solve for x
    x = 42,071,725,061.41/219,592.64
  6. Step 6: Final answer
    x = 191,589.87

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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.