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Finding the Fourth Proportional to 522,723.84, 783,992.04 and 138,475.24

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Solution

The fourth proportional to 522,723.84, 783,992.04 and 138,475.24 is: 207,688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,723.84 : 783,992.04 = 138,475.24 : x
  2. Step 2: Convert to fraction form
    522,723.84/783,992.04 = 138,475.24/x
  3. Step 3: Cross multiply
    522,723.84x = 783,992.04 × 138,475.24
  4. Step 4: Simplify right side
    522,723.84x = 108,563,485,897.09
  5. Step 5: Solve for x
    x = 108,563,485,897.09/522,723.84
  6. Step 6: Final answer
    x = 207,688.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.