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Finding the Fourth Proportional to 421,053.76, 581,054.34 and 227,461.54

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Solution

The fourth proportional to 421,053.76, 581,054.34 and 227,461.54 is: 313,897.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,053.76 : 581,054.34 = 227,461.54 : x
  2. Step 2: Convert to fraction form
    421,053.76/581,054.34 = 227,461.54/x
  3. Step 3: Cross multiply
    421,053.76x = 581,054.34 × 227,461.54
  4. Step 4: Simplify right side
    421,053.76x = 132,167,515,000.08
  5. Step 5: Solve for x
    x = 132,167,515,000.08/421,053.76
  6. Step 6: Final answer
    x = 313,897.01

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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.