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Finding the Fourth Proportional to 299,808.72, 413,752.06 and 172,503.72

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Solution

The fourth proportional to 299,808.72, 413,752.06 and 172,503.72 is: 238,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,808.72 : 413,752.06 = 172,503.72 : x
  2. Step 2: Convert to fraction form
    299,808.72/413,752.06 = 172,503.72/x
  3. Step 3: Cross multiply
    299,808.72x = 413,752.06 × 172,503.72
  4. Step 4: Simplify right side
    299,808.72x = 71,373,769,507.66
  5. Step 5: Solve for x
    x = 71,373,769,507.66/299,808.72
  6. Step 6: Final answer
    x = 238,064.35

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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.