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Finding the Fourth Proportional to 1,672,728,279.14, 2,509,378,271.38 and 689,617,400.06

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Solution

The fourth proportional to 1,672,728,279.14, 2,509,378,271.38 and 689,617,400.06 is: 1,034,543,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672,728,279.14 : 2,509,378,271.38 = 689,617,400.06 : x
  2. Step 2: Convert to fraction form
    1,672,728,279.14/2,509,378,271.38 = 689,617,400.06/x
  3. Step 3: Cross multiply
    1,672,728,279.14x = 2,509,378,271.38 × 689,617,400.06
  4. Step 4: Simplify right side
    1,672,728,279.14x = 1,730,510,919,276,132,608
  5. Step 5: Solve for x
    x = 1,730,510,919,276,132,608/1,672,728,279.14
  6. Step 6: Final answer
    x = 1,034,543,948.86

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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.