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Finding the Fourth Proportional to 575,476, 794,147.76 and 320,842.72

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Solution

The fourth proportional to 575,476, 794,147.76 and 320,842.72 is: 442,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,476 : 794,147.76 = 320,842.72 : x
  2. Step 2: Convert to fraction form
    575,476/794,147.76 = 320,842.72/x
  3. Step 3: Cross multiply
    575,476x = 794,147.76 × 320,842.72
  4. Step 4: Simplify right side
    575,476x = 254,796,527,400.31
  5. Step 5: Solve for x
    x = 254,796,527,400.31/575,476
  6. Step 6: Final answer
    x = 442,757.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.