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Finding the Fourth Proportional to 299,675.31, 413,545.01 and 163,709.82

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Solution

The fourth proportional to 299,675.31, 413,545.01 and 163,709.82 is: 225,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,675.31 : 413,545.01 = 163,709.82 : x
  2. Step 2: Convert to fraction form
    299,675.31/413,545.01 = 163,709.82/x
  3. Step 3: Cross multiply
    299,675.31x = 413,545.01 × 163,709.82
  4. Step 4: Simplify right side
    299,675.31x = 67,701,378,330.45
  5. Step 5: Solve for x
    x = 67,701,378,330.45/299,675.31
  6. Step 6: Final answer
    x = 225,915.77

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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.