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Finding the Fourth Proportional to 314,665.92, 434,190.24 and 180,504

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Solution

The fourth proportional to 314,665.92, 434,190.24 and 180,504 is: 249,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,665.92 : 434,190.24 = 180,504 : x
  2. Step 2: Convert to fraction form
    314,665.92/434,190.24 = 180,504/x
  3. Step 3: Cross multiply
    314,665.92x = 434,190.24 × 180,504
  4. Step 4: Simplify right side
    314,665.92x = 78,373,075,080.96
  5. Step 5: Solve for x
    x = 78,373,075,080.96/314,665.92
  6. Step 6: Final answer
    x = 249,067.57

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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.