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Finding the Fourth Proportional to 368,128, 508,020.96 and 222,931.18

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Solution

The fourth proportional to 368,128, 508,020.96 and 222,931.18 is: 307,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,128 : 508,020.96 = 222,931.18 : x
  2. Step 2: Convert to fraction form
    368,128/508,020.96 = 222,931.18/x
  3. Step 3: Cross multiply
    368,128x = 508,020.96 × 222,931.18
  4. Step 4: Simplify right side
    368,128x = 113,253,712,077.53
  5. Step 5: Solve for x
    x = 113,253,712,077.53/368,128
  6. Step 6: Final answer
    x = 307,647.64

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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.