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Finding the Fourth Proportional to 402,243.52, 603,364.75 and 102,724.32

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Solution

The fourth proportional to 402,243.52, 603,364.75 and 102,724.32 is: 154,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,243.52 : 603,364.75 = 102,724.32 : x
  2. Step 2: Convert to fraction form
    402,243.52/603,364.75 = 102,724.32/x
  3. Step 3: Cross multiply
    402,243.52x = 603,364.75 × 102,724.32
  4. Step 4: Simplify right side
    402,243.52x = 61,980,233,655.72
  5. Step 5: Solve for x
    x = 61,980,233,655.72/402,243.52
  6. Step 6: Final answer
    x = 154,086.34

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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.