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Finding the Fourth Proportional to 287,388,635.60, 431,082,953.40 and 166,456,283.60

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Solution

The fourth proportional to 287,388,635.60, 431,082,953.40 and 166,456,283.60 is: 249,684,425.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,388,635.60 : 431,082,953.40 = 166,456,283.60 : x
  2. Step 2: Convert to fraction form
    287,388,635.60/431,082,953.40 = 166,456,283.60/x
  3. Step 3: Cross multiply
    287,388,635.60x = 431,082,953.40 × 166,456,283.60
  4. Step 4: Simplify right side
    287,388,635.60x = 71,756,466,346,275,976
  5. Step 5: Solve for x
    x = 71,756,466,346,275,976/287,388,635.60
  6. Step 6: Final answer
    x = 249,684,425.40

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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.