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Finding the Fourth Proportional to 421,054.26, 581,055.03 and 227,462.04

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Solution

The fourth proportional to 421,054.26, 581,055.03 and 227,462.04 is: 313,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,054.26 : 581,055.03 = 227,462.04 : x
  2. Step 2: Convert to fraction form
    421,054.26/581,055.03 = 227,462.04/x
  3. Step 3: Cross multiply
    421,054.26x = 581,055.03 × 227,462.04
  4. Step 4: Simplify right side
    421,054.26x = 132,167,962,476.06
  5. Step 5: Solve for x
    x = 132,167,962,476.06/421,054.26
  6. Step 6: Final answer
    x = 313,897.70

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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.