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Finding the Fourth Proportional to 357,904.80, 493,921.80 and 204,966.72

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Solution

The fourth proportional to 357,904.80, 493,921.80 and 204,966.72 is: 282,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,904.80 : 493,921.80 = 204,966.72 : x
  2. Step 2: Convert to fraction form
    357,904.80/493,921.80 = 204,966.72/x
  3. Step 3: Cross multiply
    357,904.80x = 493,921.80 × 204,966.72
  4. Step 4: Simplify right side
    357,904.80x = 101,237,531,282.50
  5. Step 5: Solve for x
    x = 101,237,531,282.50/357,904.80
  6. Step 6: Final answer
    x = 282,861.62

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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.