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Finding the Fourth Proportional to 477,752.78, 716,634.74 and 189,635.18

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Solution

The fourth proportional to 477,752.78, 716,634.74 and 189,635.18 is: 284,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,752.78 : 716,634.74 = 189,635.18 : x
  2. Step 2: Convert to fraction form
    477,752.78/716,634.74 = 189,635.18/x
  3. Step 3: Cross multiply
    477,752.78x = 716,634.74 × 189,635.18
  4. Step 4: Simplify right side
    477,752.78x = 135,899,154,805.07
  5. Step 5: Solve for x
    x = 135,899,154,805.07/477,752.78
  6. Step 6: Final answer
    x = 284,454.97

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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.