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Finding the Fourth Proportional to 395,416.80, 593,125.20 and 290,440.80

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Solution

The fourth proportional to 395,416.80, 593,125.20 and 290,440.80 is: 435,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,416.80 : 593,125.20 = 290,440.80 : x
  2. Step 2: Convert to fraction form
    395,416.80/593,125.20 = 290,440.80/x
  3. Step 3: Cross multiply
    395,416.80x = 593,125.20 × 290,440.80
  4. Step 4: Simplify right side
    395,416.80x = 172,267,757,588.16
  5. Step 5: Solve for x
    x = 172,267,757,588.16/395,416.80
  6. Step 6: Final answer
    x = 435,661.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.