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Finding the Fourth Proportional to 983,664,007.20, 1,475,496,010.80 and 256,652,719.20

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Solution

The fourth proportional to 983,664,007.20, 1,475,496,010.80 and 256,652,719.20 is: 384,979,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,664,007.20 : 1,475,496,010.80 = 256,652,719.20 : x
  2. Step 2: Convert to fraction form
    983,664,007.20/1,475,496,010.80 = 256,652,719.20/x
  3. Step 3: Cross multiply
    983,664,007.20x = 1,475,496,010.80 × 256,652,719.20
  4. Step 4: Simplify right side
    983,664,007.20x = 378,690,063,340,572,544
  5. Step 5: Solve for x
    x = 378,690,063,340,572,544/983,664,007.20
  6. Step 6: Final answer
    x = 384,979,078.80

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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.