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Finding the Fourth Proportional to 471,972.36, 651,314.32 and 257,115

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Solution

The fourth proportional to 471,972.36, 651,314.32 and 257,115 is: 354,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,972.36 : 651,314.32 = 257,115 : x
  2. Step 2: Convert to fraction form
    471,972.36/651,314.32 = 257,115/x
  3. Step 3: Cross multiply
    471,972.36x = 651,314.32 × 257,115
  4. Step 4: Simplify right side
    471,972.36x = 167,462,681,386.80
  5. Step 5: Solve for x
    x = 167,462,681,386.80/471,972.36
  6. Step 6: Final answer
    x = 354,814.59

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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.