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Finding the Fourth Proportional to 421,698.92, 581,887.12 and 251,897

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Solution

The fourth proportional to 421,698.92, 581,887.12 and 251,897 is: 347,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,698.92 : 581,887.12 = 251,897 : x
  2. Step 2: Convert to fraction form
    421,698.92/581,887.12 = 251,897/x
  3. Step 3: Cross multiply
    421,698.92x = 581,887.12 × 251,897
  4. Step 4: Simplify right side
    421,698.92x = 146,575,619,866.64
  5. Step 5: Solve for x
    x = 146,575,619,866.64/421,698.92
  6. Step 6: Final answer
    x = 347,583.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.