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Finding the Fourth Proportional to 368,917.84, 553,376.86 and 284,800.81

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Solution

The fourth proportional to 368,917.84, 553,376.86 and 284,800.81 is: 427,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,917.84 : 553,376.86 = 284,800.81 : x
  2. Step 2: Convert to fraction form
    368,917.84/553,376.86 = 284,800.81/x
  3. Step 3: Cross multiply
    368,917.84x = 553,376.86 × 284,800.81
  4. Step 4: Simplify right side
    368,917.84x = 157,602,178,507.40
  5. Step 5: Solve for x
    x = 157,602,178,507.40/368,917.84
  6. Step 6: Final answer
    x = 427,201.29

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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.