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Finding the Fourth Proportional to 572,690, 857,727.16 and 273,380.77

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Solution

The fourth proportional to 572,690, 857,727.16 and 273,380.77 is: 409,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,690 : 857,727.16 = 273,380.77 : x
  2. Step 2: Convert to fraction form
    572,690/857,727.16 = 273,380.77/x
  3. Step 3: Cross multiply
    572,690x = 857,727.16 × 273,380.77
  4. Step 4: Simplify right side
    572,690x = 234,486,111,450.71
  5. Step 5: Solve for x
    x = 234,486,111,450.71/572,690
  6. Step 6: Final answer
    x = 409,446.84

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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.