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Finding the Fourth Proportional to 3,209,065.78, 4,815,155.63 and 1,411,715.71

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Solution

The fourth proportional to 3,209,065.78, 4,815,155.63 and 1,411,715.71 is: 2,118,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,065.78 : 4,815,155.63 = 1,411,715.71 : x
  2. Step 2: Convert to fraction form
    3,209,065.78/4,815,155.63 = 1,411,715.71/x
  3. Step 3: Cross multiply
    3,209,065.78x = 4,815,155.63 × 1,411,715.71
  4. Step 4: Simplify right side
    3,209,065.78x = 6,797,630,848,965.95
  5. Step 5: Solve for x
    x = 6,797,630,848,965.95/3,209,065.78
  6. Step 6: Final answer
    x = 2,118,258.49

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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.