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Finding the Fourth Proportional to 523,643.28, 722,637.36 and 291,092.10

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Solution

The fourth proportional to 523,643.28, 722,637.36 and 291,092.10 is: 401,712.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,643.28 : 722,637.36 = 291,092.10 : x
  2. Step 2: Convert to fraction form
    523,643.28/722,637.36 = 291,092.10/x
  3. Step 3: Cross multiply
    523,643.28x = 722,637.36 × 291,092.10
  4. Step 4: Simplify right side
    523,643.28x = 210,354,026,660.86
  5. Step 5: Solve for x
    x = 210,354,026,660.86/523,643.28
  6. Step 6: Final answer
    x = 401,712.45

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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.