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Finding the Fourth Proportional to 299,888.27, 413,856.95 and 163,931.45

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Solution

The fourth proportional to 299,888.27, 413,856.95 and 163,931.45 is: 226,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,888.27 : 413,856.95 = 163,931.45 : x
  2. Step 2: Convert to fraction form
    299,888.27/413,856.95 = 163,931.45/x
  3. Step 3: Cross multiply
    299,888.27x = 413,856.95 × 163,931.45
  4. Step 4: Simplify right side
    299,888.27x = 67,844,167,017.14
  5. Step 5: Solve for x
    x = 67,844,167,017.14/299,888.27
  6. Step 6: Final answer
    x = 226,231.48

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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.