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Finding the Fourth Proportional to 201,169,602.90, 301,515,255.90 and 180,602,836.20

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Solution

The fourth proportional to 201,169,602.90, 301,515,255.90 and 180,602,836.20 is: 270,689,555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,169,602.90 : 301,515,255.90 = 180,602,836.20 : x
  2. Step 2: Convert to fraction form
    201,169,602.90/301,515,255.90 = 180,602,836.20/x
  3. Step 3: Cross multiply
    201,169,602.90x = 301,515,255.90 × 180,602,836.20
  4. Step 4: Simplify right side
    201,169,602.90x = 54,454,510,373,108,776
  5. Step 5: Solve for x
    x = 54,454,510,373,108,776/201,169,602.90
  6. Step 6: Final answer
    x = 270,689,555.42

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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.