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Finding the Fourth Proportional to 652,075.52, 978,120.16 and 178,760.92

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Solution

The fourth proportional to 652,075.52, 978,120.16 and 178,760.92 is: 268,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,075.52 : 978,120.16 = 178,760.92 : x
  2. Step 2: Convert to fraction form
    652,075.52/978,120.16 = 178,760.92/x
  3. Step 3: Cross multiply
    652,075.52x = 978,120.16 × 178,760.92
  4. Step 4: Simplify right side
    652,075.52x = 174,849,659,672.15
  5. Step 5: Solve for x
    x = 174,849,659,672.15/652,075.52
  6. Step 6: Final answer
    x = 268,143.27

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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.