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Finding the Fourth Proportional to 859,655,168, 1,289,356,771.68 and 422,838,601.28

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Solution

The fourth proportional to 859,655,168, 1,289,356,771.68 and 422,838,601.28 is: 634,195,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,655,168 : 1,289,356,771.68 = 422,838,601.28 : x
  2. Step 2: Convert to fraction form
    859,655,168/1,289,356,771.68 = 422,838,601.28/x
  3. Step 3: Cross multiply
    859,655,168x = 1,289,356,771.68 × 422,838,601.28
  4. Step 4: Simplify right side
    859,655,168x = 545,189,813,888,067,520
  5. Step 5: Solve for x
    x = 545,189,813,888,067,520/859,655,168
  6. Step 6: Final answer
    x = 634,195,935.98

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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.