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Finding the Fourth Proportional to 471,971.36, 708,059.57 and 172,451.47

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Solution

The fourth proportional to 471,971.36, 708,059.57 and 172,451.47 is: 258,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,971.36 : 708,059.57 = 172,451.47 : x
  2. Step 2: Convert to fraction form
    471,971.36/708,059.57 = 172,451.47/x
  3. Step 3: Cross multiply
    471,971.36x = 708,059.57 × 172,451.47
  4. Step 4: Simplify right side
    471,971.36x = 122,105,911,061.66
  5. Step 5: Solve for x
    x = 122,105,911,061.66/471,971.36
  6. Step 6: Final answer
    x = 258,714.66

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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.