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Finding the Fourth Proportional to 478,998.74, 661,004.06 and 264,138.78

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Solution

The fourth proportional to 478,998.74, 661,004.06 and 264,138.78 is: 364,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,998.74 : 661,004.06 = 264,138.78 : x
  2. Step 2: Convert to fraction form
    478,998.74/661,004.06 = 264,138.78/x
  3. Step 3: Cross multiply
    478,998.74x = 661,004.06 × 264,138.78
  4. Step 4: Simplify right side
    478,998.74x = 174,596,805,983.45
  5. Step 5: Solve for x
    x = 174,596,805,983.45/478,998.74
  6. Step 6: Final answer
    x = 364,503.69

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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.