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Finding the Fourth Proportional to 3,187,978.47, 4,782,254.87 and 1,029,054.76

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Solution

The fourth proportional to 3,187,978.47, 4,782,254.87 and 1,029,054.76 is: 1,543,674.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187,978.47 : 4,782,254.87 = 1,029,054.76 : x
  2. Step 2: Convert to fraction form
    3,187,978.47/4,782,254.87 = 1,029,054.76/x
  3. Step 3: Cross multiply
    3,187,978.47x = 4,782,254.87 × 1,029,054.76
  4. Step 4: Simplify right side
    3,187,978.47x = 4,921,202,137,506.68
  5. Step 5: Solve for x
    x = 4,921,202,137,506.68/3,187,978.47
  6. Step 6: Final answer
    x = 1,543,674.83

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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.