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Finding the Fourth Proportional to 402,642.51, 603,963.87 and 118,333.04

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Solution

The fourth proportional to 402,642.51, 603,963.87 and 118,333.04 is: 177,499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,642.51 : 603,963.87 = 118,333.04 : x
  2. Step 2: Convert to fraction form
    402,642.51/603,963.87 = 118,333.04/x
  3. Step 3: Cross multiply
    402,642.51x = 603,963.87 × 118,333.04
  4. Step 4: Simplify right side
    402,642.51x = 71,468,880,787.26
  5. Step 5: Solve for x
    x = 71,468,880,787.26/402,642.51
  6. Step 6: Final answer
    x = 177,499.59

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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.