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Finding the Fourth Proportional to 402,853.10, 603,735.32 and 153,399.02

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Solution

The fourth proportional to 402,853.10, 603,735.32 and 153,399.02 is: 229,891.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,853.10 : 603,735.32 = 153,399.02 : x
  2. Step 2: Convert to fraction form
    402,853.10/603,735.32 = 153,399.02/x
  3. Step 3: Cross multiply
    402,853.10x = 603,735.32 × 153,399.02
  4. Step 4: Simplify right side
    402,853.10x = 92,612,403,792.21
  5. Step 5: Solve for x
    x = 92,612,403,792.21/402,853.10
  6. Step 6: Final answer
    x = 229,891.26

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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.