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Finding the Fourth Proportional to 1,298,981.40, 1,948,472.10 and 873,828.60

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Solution

The fourth proportional to 1,298,981.40, 1,948,472.10 and 873,828.60 is: 1,310,742.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,981.40 : 1,948,472.10 = 873,828.60 : x
  2. Step 2: Convert to fraction form
    1,298,981.40/1,948,472.10 = 873,828.60/x
  3. Step 3: Cross multiply
    1,298,981.40x = 1,948,472.10 × 873,828.60
  4. Step 4: Simplify right side
    1,298,981.40x = 1,702,630,647,282.06
  5. Step 5: Solve for x
    x = 1,702,630,647,282.06/1,298,981.40
  6. Step 6: Final answer
    x = 1,310,742.90

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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.