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Finding the Fourth Proportional to 393,182,689.60, 589,022,008.80 and 211,369,441.60

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Solution

The fourth proportional to 393,182,689.60, 589,022,008.80 and 211,369,441.60 is: 316,649,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,182,689.60 : 589,022,008.80 = 211,369,441.60 : x
  2. Step 2: Convert to fraction form
    393,182,689.60/589,022,008.80 = 211,369,441.60/x
  3. Step 3: Cross multiply
    393,182,689.60x = 589,022,008.80 × 211,369,441.60
  4. Step 4: Simplify right side
    393,182,689.60x = 124,501,253,090,166,272
  5. Step 5: Solve for x
    x = 124,501,253,090,166,272/393,182,689.60
  6. Step 6: Final answer
    x = 316,649,884.10

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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.