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Finding the Fourth Proportional to 523,050, 721,809 and 284,586

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Solution

The fourth proportional to 523,050, 721,809 and 284,586 is: 392,728.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,050 : 721,809 = 284,586 : x
  2. Step 2: Convert to fraction form
    523,050/721,809 = 284,586/x
  3. Step 3: Cross multiply
    523,050x = 721,809 × 284,586
  4. Step 4: Simplify right side
    523,050x = 205,416,736,074
  5. Step 5: Solve for x
    x = 205,416,736,074/523,050
  6. Step 6: Final answer
    x = 392,728.68

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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.