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Finding the Fourth Proportional to 299,970.72, 413,119.44 and 293,438.88

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Solution

The fourth proportional to 299,970.72, 413,119.44 and 293,438.88 is: 404,123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,970.72 : 413,119.44 = 293,438.88 : x
  2. Step 2: Convert to fraction form
    299,970.72/413,119.44 = 293,438.88/x
  3. Step 3: Cross multiply
    299,970.72x = 413,119.44 × 293,438.88
  4. Step 4: Simplify right side
    299,970.72x = 121,225,305,779.83
  5. Step 5: Solve for x
    x = 121,225,305,779.83/299,970.72
  6. Step 6: Final answer
    x = 404,123.80

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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.