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Finding the Fourth Proportional to 342,080.80, 512,903.86 and 300,045.30

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Solution

The fourth proportional to 342,080.80, 512,903.86 and 300,045.30 is: 449,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,080.80 : 512,903.86 = 300,045.30 : x
  2. Step 2: Convert to fraction form
    342,080.80/512,903.86 = 300,045.30/x
  3. Step 3: Cross multiply
    342,080.80x = 512,903.86 × 300,045.30
  4. Step 4: Simplify right side
    342,080.80x = 153,894,392,544.86
  5. Step 5: Solve for x
    x = 153,894,392,544.86/342,080.80
  6. Step 6: Final answer
    x = 449,877.32

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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.