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Finding the Fourth Proportional to 334,121.80, 499,985.47 and 289,297.79

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Solution

The fourth proportional to 334,121.80, 499,985.47 and 289,297.79 is: 432,910.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,121.80 : 499,985.47 = 289,297.79 : x
  2. Step 2: Convert to fraction form
    334,121.80/499,985.47 = 289,297.79/x
  3. Step 3: Cross multiply
    334,121.80x = 499,985.47 × 289,297.79
  4. Step 4: Simplify right side
    334,121.80x = 144,644,692,029.83
  5. Step 5: Solve for x
    x = 144,644,692,029.83/334,121.80
  6. Step 6: Final answer
    x = 432,910.07

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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.