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Finding the Fourth Proportional to 471,696.20, 706,215.61 and 423,866.51

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Solution

The fourth proportional to 471,696.20, 706,215.61 and 423,866.51 is: 634,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,696.20 : 706,215.61 = 423,866.51 : x
  2. Step 2: Convert to fraction form
    471,696.20/706,215.61 = 423,866.51/x
  3. Step 3: Cross multiply
    471,696.20x = 706,215.61 × 423,866.51
  4. Step 4: Simplify right side
    471,696.20x = 299,341,142,387.14
  5. Step 5: Solve for x
    x = 299,341,142,387.14/471,696.20
  6. Step 6: Final answer
    x = 634,605.80

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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.