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Finding the Fourth Proportional to 551,145.36, 826,505.50 and 214,141.65

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Solution

The fourth proportional to 551,145.36, 826,505.50 and 214,141.65 is: 321,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,145.36 : 826,505.50 = 214,141.65 : x
  2. Step 2: Convert to fraction form
    551,145.36/826,505.50 = 214,141.65/x
  3. Step 3: Cross multiply
    551,145.36x = 826,505.50 × 214,141.65
  4. Step 4: Simplify right side
    551,145.36x = 176,989,249,993.11
  5. Step 5: Solve for x
    x = 176,989,249,993.11/551,145.36
  6. Step 6: Final answer
    x = 321,129.89

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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.