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Finding the Fourth Proportional to 601,897.37, 830,481.93 and 408,331.49

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Solution

The fourth proportional to 601,897.37, 830,481.93 and 408,331.49 is: 563,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,897.37 : 830,481.93 = 408,331.49 : x
  2. Step 2: Convert to fraction form
    601,897.37/830,481.93 = 408,331.49/x
  3. Step 3: Cross multiply
    601,897.37x = 830,481.93 × 408,331.49
  4. Step 4: Simplify right side
    601,897.37x = 339,111,919,742.57
  5. Step 5: Solve for x
    x = 339,111,919,742.57/601,897.37
  6. Step 6: Final answer
    x = 563,404.89

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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.