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Finding the Fourth Proportional to 386,698.70, 580,075.68 and 161,832.72

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Solution

The fourth proportional to 386,698.70, 580,075.68 and 161,832.72 is: 242,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,698.70 : 580,075.68 = 161,832.72 : x
  2. Step 2: Convert to fraction form
    386,698.70/580,075.68 = 161,832.72/x
  3. Step 3: Cross multiply
    386,698.70x = 580,075.68 × 161,832.72
  4. Step 4: Simplify right side
    386,698.70x = 93,875,225,100.25
  5. Step 5: Solve for x
    x = 93,875,225,100.25/386,698.70
  6. Step 6: Final answer
    x = 242,760.64

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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.