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Finding the Fourth Proportional to 471,457.26, 707,375.25 and 215,411.18

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Solution

The fourth proportional to 471,457.26, 707,375.25 and 215,411.18 is: 323,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,457.26 : 707,375.25 = 215,411.18 : x
  2. Step 2: Convert to fraction form
    471,457.26/707,375.25 = 215,411.18/x
  3. Step 3: Cross multiply
    471,457.26x = 707,375.25 × 215,411.18
  4. Step 4: Simplify right side
    471,457.26x = 152,376,533,768.42
  5. Step 5: Solve for x
    x = 152,376,533,768.42/471,457.26
  6. Step 6: Final answer
    x = 323,203.28

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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.