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Finding the Fourth Proportional to 421,270.80, 633,218.40 and 413,397.60

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Solution

The fourth proportional to 421,270.80, 633,218.40 and 413,397.60 is: 621,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,270.80 : 633,218.40 = 413,397.60 : x
  2. Step 2: Convert to fraction form
    421,270.80/633,218.40 = 413,397.60/x
  3. Step 3: Cross multiply
    421,270.80x = 633,218.40 × 413,397.60
  4. Step 4: Simplify right side
    421,270.80x = 261,770,966,835.84
  5. Step 5: Solve for x
    x = 261,770,966,835.84/421,270.80
  6. Step 6: Final answer
    x = 621,384.08

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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.