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Finding the Fourth Proportional to 523,712, 722,722.56 and 285,248

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Solution

The fourth proportional to 523,712, 722,722.56 and 285,248 is: 393,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,712 : 722,722.56 = 285,248 : x
  2. Step 2: Convert to fraction form
    523,712/722,722.56 = 285,248/x
  3. Step 3: Cross multiply
    523,712x = 722,722.56 × 285,248
  4. Step 4: Simplify right side
    523,712x = 206,155,164,794.88
  5. Step 5: Solve for x
    x = 206,155,164,794.88/523,712
  6. Step 6: Final answer
    x = 393,642.24

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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.