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Finding the Fourth Proportional to 357,322.26, 493,335.45 and 221,500.66

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Solution

The fourth proportional to 357,322.26, 493,335.45 and 221,500.66 is: 305,813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,322.26 : 493,335.45 = 221,500.66 : x
  2. Step 2: Convert to fraction form
    357,322.26/493,335.45 = 221,500.66/x
  3. Step 3: Cross multiply
    357,322.26x = 493,335.45 × 221,500.66
  4. Step 4: Simplify right side
    357,322.26x = 109,274,127,776.40
  5. Step 5: Solve for x
    x = 109,274,127,776.40/357,322.26
  6. Step 6: Final answer
    x = 305,813.94

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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.