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Finding the Fourth Proportional to 259,164.48, 388,242.33 and 146,503.89

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Solution

The fourth proportional to 259,164.48, 388,242.33 and 146,503.89 is: 219,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,164.48 : 388,242.33 = 146,503.89 : x
  2. Step 2: Convert to fraction form
    259,164.48/388,242.33 = 146,503.89/x
  3. Step 3: Cross multiply
    259,164.48x = 388,242.33 × 146,503.89
  4. Step 4: Simplify right side
    259,164.48x = 56,879,011,607.66
  5. Step 5: Solve for x
    x = 56,879,011,607.66/259,164.48
  6. Step 6: Final answer
    x = 219,470.71

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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.