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Finding the Fourth Proportional to 294,920, 406,999.20 and 160,792.64

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Solution

The fourth proportional to 294,920, 406,999.20 and 160,792.64 is: 221,899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,920 : 406,999.20 = 160,792.64 : x
  2. Step 2: Convert to fraction form
    294,920/406,999.20 = 160,792.64/x
  3. Step 3: Cross multiply
    294,920x = 406,999.20 × 160,792.64
  4. Step 4: Simplify right side
    294,920x = 65,442,475,845.89
  5. Step 5: Solve for x
    x = 65,442,475,845.89/294,920
  6. Step 6: Final answer
    x = 221,899.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.