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Finding the Fourth Proportional to 776,394, 1,164,591.54 and 215,429.04

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Solution

The fourth proportional to 776,394, 1,164,591.54 and 215,429.04 is: 323,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,394 : 1,164,591.54 = 215,429.04 : x
  2. Step 2: Convert to fraction form
    776,394/1,164,591.54 = 215,429.04/x
  3. Step 3: Cross multiply
    776,394x = 1,164,591.54 × 215,429.04
  4. Step 4: Simplify right side
    776,394x = 250,886,837,454.32
  5. Step 5: Solve for x
    x = 250,886,837,454.32/776,394
  6. Step 6: Final answer
    x = 323,143.71

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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.