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Finding the Fourth Proportional to 296,702.90, 409,448.32 and 160,739.51

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Solution

The fourth proportional to 296,702.90, 409,448.32 and 160,739.51 is: 221,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,702.90 : 409,448.32 = 160,739.51 : x
  2. Step 2: Convert to fraction form
    296,702.90/409,448.32 = 160,739.51/x
  3. Step 3: Cross multiply
    296,702.90x = 409,448.32 × 160,739.51
  4. Step 4: Simplify right side
    296,702.90x = 65,814,519,878.03
  5. Step 5: Solve for x
    x = 65,814,519,878.03/296,702.90
  6. Step 6: Final answer
    x = 221,819.61

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1.5x scale

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.