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Finding the Fourth Proportional to 539,431.40, 809,234.70 and 202,498.52

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Solution

The fourth proportional to 539,431.40, 809,234.70 and 202,498.52 is: 303,780.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,431.40 : 809,234.70 = 202,498.52 : x
  2. Step 2: Convert to fraction form
    539,431.40/809,234.70 = 202,498.52/x
  3. Step 3: Cross multiply
    539,431.40x = 809,234.70 × 202,498.52
  4. Step 4: Simplify right side
    539,431.40x = 163,868,829,082.64
  5. Step 5: Solve for x
    x = 163,868,829,082.64/539,431.40
  6. Step 6: Final answer
    x = 303,780.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.