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Finding the Fourth Proportional to 342,076.80, 512,897.86 and 300,041.29

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Solution

The fourth proportional to 342,076.80, 512,897.86 and 300,041.29 is: 449,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,076.80 : 512,897.86 = 300,041.29 : x
  2. Step 2: Convert to fraction form
    342,076.80/512,897.86 = 300,041.29/x
  3. Step 3: Cross multiply
    342,076.80x = 512,897.86 × 300,041.29
  4. Step 4: Simplify right side
    342,076.80x = 153,890,535,552.64
  5. Step 5: Solve for x
    x = 153,890,535,552.64/342,076.80
  6. Step 6: Final answer
    x = 449,871.30

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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.