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Finding the Fourth Proportional to 378,032.10, 567,048.15 and 343,040.10

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Solution

The fourth proportional to 378,032.10, 567,048.15 and 343,040.10 is: 514,560.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,032.10 : 567,048.15 = 343,040.10 : x
  2. Step 2: Convert to fraction form
    378,032.10/567,048.15 = 343,040.10/x
  3. Step 3: Cross multiply
    378,032.10x = 567,048.15 × 343,040.10
  4. Step 4: Simplify right side
    378,032.10x = 194,520,254,080.82
  5. Step 5: Solve for x
    x = 194,520,254,080.82/378,032.10
  6. Step 6: Final answer
    x = 514,560.15

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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.