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Finding the Fourth Proportional to 368,814.13, 508,910.51 and 205,469.53

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Solution

The fourth proportional to 368,814.13, 508,910.51 and 205,469.53 is: 283,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,814.13 : 508,910.51 = 205,469.53 : x
  2. Step 2: Convert to fraction form
    368,814.13/508,910.51 = 205,469.53/x
  3. Step 3: Cross multiply
    368,814.13x = 508,910.51 × 205,469.53
  4. Step 4: Simplify right side
    368,814.13x = 104,565,602,543.16
  5. Step 5: Solve for x
    x = 104,565,602,543.16/368,814.13
  6. Step 6: Final answer
    x = 283,518.43

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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.