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Finding the Fourth Proportional to 357,854.85, 493,840.72 and 204,895.39

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Solution

The fourth proportional to 357,854.85, 493,840.72 and 204,895.39 is: 282,756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,854.85 : 493,840.72 = 204,895.39 : x
  2. Step 2: Convert to fraction form
    357,854.85/493,840.72 = 204,895.39/x
  3. Step 3: Cross multiply
    357,854.85x = 493,840.72 × 204,895.39
  4. Step 4: Simplify right side
    357,854.85x = 101,185,685,897.80
  5. Step 5: Solve for x
    x = 101,185,685,897.80/357,854.85
  6. Step 6: Final answer
    x = 282,756.23

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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.