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Finding the Fourth Proportional to 583,620.22, 805,457.91 and 342,105.76

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Solution

The fourth proportional to 583,620.22, 805,457.91 and 342,105.76 is: 472,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,620.22 : 805,457.91 = 342,105.76 : x
  2. Step 2: Convert to fraction form
    583,620.22/805,457.91 = 342,105.76/x
  3. Step 3: Cross multiply
    583,620.22x = 805,457.91 × 342,105.76
  4. Step 4: Simplify right side
    583,620.22x = 275,551,790,448.56
  5. Step 5: Solve for x
    x = 275,551,790,448.56/583,620.22
  6. Step 6: Final answer
    x = 472,142.30

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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.