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Finding the Fourth Proportional to 201,471,865.80, 302,207,798.70 and 185,347,552.20

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Solution

The fourth proportional to 201,471,865.80, 302,207,798.70 and 185,347,552.20 is: 278,021,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,471,865.80 : 302,207,798.70 = 185,347,552.20 : x
  2. Step 2: Convert to fraction form
    201,471,865.80/302,207,798.70 = 185,347,552.20/x
  3. Step 3: Cross multiply
    201,471,865.80x = 302,207,798.70 × 185,347,552.20
  4. Step 4: Simplify right side
    201,471,865.80x = 56,013,475,744,795,336
  5. Step 5: Solve for x
    x = 56,013,475,744,795,336/201,471,865.80
  6. Step 6: Final answer
    x = 278,021,328.30

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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.