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Finding the Fourth Proportional to 527,883.84, 728,762.38 and 412,918.22

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Solution

The fourth proportional to 527,883.84, 728,762.38 and 412,918.22 is: 570,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,883.84 : 728,762.38 = 412,918.22 : x
  2. Step 2: Convert to fraction form
    527,883.84/728,762.38 = 412,918.22/x
  3. Step 3: Cross multiply
    527,883.84x = 728,762.38 × 412,918.22
  4. Step 4: Simplify right side
    527,883.84x = 300,919,265,542.17
  5. Step 5: Solve for x
    x = 300,919,265,542.17/527,883.84
  6. Step 6: Final answer
    x = 570,048.26

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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.