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Finding the Fourth Proportional to 583,663.80, 805,318.86 and 354,216

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Solution

The fourth proportional to 583,663.80, 805,318.86 and 354,216 is: 488,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,663.80 : 805,318.86 = 354,216 : x
  2. Step 2: Convert to fraction form
    583,663.80/805,318.86 = 354,216/x
  3. Step 3: Cross multiply
    583,663.80x = 805,318.86 × 354,216
  4. Step 4: Simplify right side
    583,663.80x = 285,256,825,313.76
  5. Step 5: Solve for x
    x = 285,256,825,313.76/583,663.80
  6. Step 6: Final answer
    x = 488,734.83

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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.