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Finding the Fourth Proportional to 1,042,978,867.80, 1,564,468,301.70 and 315,967,579.80

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Solution

The fourth proportional to 1,042,978,867.80, 1,564,468,301.70 and 315,967,579.80 is: 473,951,369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042,978,867.80 : 1,564,468,301.70 = 315,967,579.80 : x
  2. Step 2: Convert to fraction form
    1,042,978,867.80/1,564,468,301.70 = 315,967,579.80/x
  3. Step 3: Cross multiply
    1,042,978,867.80x = 1,564,468,301.70 × 315,967,579.80
  4. Step 4: Simplify right side
    1,042,978,867.80x = 494,321,262,961,965,248
  5. Step 5: Solve for x
    x = 494,321,262,961,965,248/1,042,978,867.80
  6. Step 6: Final answer
    x = 473,951,369.70

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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.