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Finding the Fourth Proportional to 523,932, 723,026.16 and 285,468

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Solution

The fourth proportional to 523,932, 723,026.16 and 285,468 is: 393,945.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,932 : 723,026.16 = 285,468 : x
  2. Step 2: Convert to fraction form
    523,932/723,026.16 = 285,468/x
  3. Step 3: Cross multiply
    523,932x = 723,026.16 × 285,468
  4. Step 4: Simplify right side
    523,932x = 206,400,831,842.88
  5. Step 5: Solve for x
    x = 206,400,831,842.88/523,932
  6. Step 6: Final answer
    x = 393,945.84

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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.