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Finding the Fourth Proportional to 3,158,178.71, 4,736,773.86 and 1,028,248.47

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Solution

The fourth proportional to 3,158,178.71, 4,736,773.86 and 1,028,248.47 is: 1,542,211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158,178.71 : 4,736,773.86 = 1,028,248.47 : x
  2. Step 2: Convert to fraction form
    3,158,178.71/4,736,773.86 = 1,028,248.47/x
  3. Step 3: Cross multiply
    3,158,178.71x = 4,736,773.86 × 1,028,248.47
  4. Step 4: Simplify right side
    3,158,178.71x = 4,870,580,474,280.99
  5. Step 5: Solve for x
    x = 4,870,580,474,280.99/3,158,178.71
  6. Step 6: Final answer
    x = 1,542,211.80

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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.