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Finding the Fourth Proportional to 299,917.34, 413,888.69 and 170,853.90

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Solution

The fourth proportional to 299,917.34, 413,888.69 and 170,853.90 is: 235,779.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,917.34 : 413,888.69 = 170,853.90 : x
  2. Step 2: Convert to fraction form
    299,917.34/413,888.69 = 170,853.90/x
  3. Step 3: Cross multiply
    299,917.34x = 413,888.69 × 170,853.90
  4. Step 4: Simplify right side
    299,917.34x = 70,714,498,831.61
  5. Step 5: Solve for x
    x = 70,714,498,831.61/299,917.34
  6. Step 6: Final answer
    x = 235,779.96

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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.