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Finding the Fourth Proportional to 357,499.85, 493,229.75 and 202,429.95

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Solution

The fourth proportional to 357,499.85, 493,229.75 and 202,429.95 is: 279,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,499.85 : 493,229.75 = 202,429.95 : x
  2. Step 2: Convert to fraction form
    357,499.85/493,229.75 = 202,429.95/x
  3. Step 3: Cross multiply
    357,499.85x = 493,229.75 × 202,429.95
  4. Step 4: Simplify right side
    357,499.85x = 99,844,473,631.01
  5. Step 5: Solve for x
    x = 99,844,473,631.01/357,499.85
  6. Step 6: Final answer
    x = 279,285.36

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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.