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Finding the Fourth Proportional to 213,281,201.70, 319,921,802.55 and 188,622,339.30

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Solution

The fourth proportional to 213,281,201.70, 319,921,802.55 and 188,622,339.30 is: 282,933,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,281,201.70 : 319,921,802.55 = 188,622,339.30 : x
  2. Step 2: Convert to fraction form
    213,281,201.70/319,921,802.55 = 188,622,339.30/x
  3. Step 3: Cross multiply
    213,281,201.70x = 319,921,802.55 × 188,622,339.30
  4. Step 4: Simplify right side
    213,281,201.70x = 60,344,398,790,053,712
  5. Step 5: Solve for x
    x = 60,344,398,790,053,712/213,281,201.70
  6. Step 6: Final answer
    x = 282,933,508.95

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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.