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Finding the Fourth Proportional to 477,518.31, 716,283.09 and 189,400.21

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Solution

The fourth proportional to 477,518.31, 716,283.09 and 189,400.21 is: 284,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,518.31 : 716,283.09 = 189,400.21 : x
  2. Step 2: Convert to fraction form
    477,518.31/716,283.09 = 189,400.21/x
  3. Step 3: Cross multiply
    477,518.31x = 716,283.09 × 189,400.21
  4. Step 4: Simplify right side
    477,518.31x = 135,664,165,874.74
  5. Step 5: Solve for x
    x = 135,664,165,874.74/477,518.31
  6. Step 6: Final answer
    x = 284,102.54

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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.