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Finding the Fourth Proportional to 519,598.50, 779,420.46 and 164,638.68

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Solution

The fourth proportional to 519,598.50, 779,420.46 and 164,638.68 is: 246,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,598.50 : 779,420.46 = 164,638.68 : x
  2. Step 2: Convert to fraction form
    519,598.50/779,420.46 = 164,638.68/x
  3. Step 3: Cross multiply
    519,598.50x = 779,420.46 × 164,638.68
  4. Step 4: Simplify right side
    519,598.50x = 128,322,755,699.39
  5. Step 5: Solve for x
    x = 128,322,755,699.39/519,598.50
  6. Step 6: Final answer
    x = 246,965.22

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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.