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Finding the Fourth Proportional to 477,356.31, 715,933.61 and 140,305.28

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Solution

The fourth proportional to 477,356.31, 715,933.61 and 140,305.28 is: 210,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,356.31 : 715,933.61 = 140,305.28 : x
  2. Step 2: Convert to fraction form
    477,356.31/715,933.61 = 140,305.28/x
  3. Step 3: Cross multiply
    477,356.31x = 715,933.61 × 140,305.28
  4. Step 4: Simplify right side
    477,356.31x = 100,449,265,612.46
  5. Step 5: Solve for x
    x = 100,449,265,612.46/477,356.31
  6. Step 6: Final answer
    x = 210,428.28

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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.