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Finding the Fourth Proportional to 1,212,949.07, 1,819,641.46 and 414,043.77

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Solution

The fourth proportional to 1,212,949.07, 1,819,641.46 and 414,043.77 is: 621,140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,949.07 : 1,819,641.46 = 414,043.77 : x
  2. Step 2: Convert to fraction form
    1,212,949.07/1,819,641.46 = 414,043.77/x
  3. Step 3: Cross multiply
    1,212,949.07x = 1,819,641.46 × 414,043.77
  4. Step 4: Simplify right side
    1,212,949.07x = 753,411,210,146.70
  5. Step 5: Solve for x
    x = 753,411,210,146.70/1,212,949.07
  6. Step 6: Final answer
    x = 621,140.02

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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.