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Finding the Fourth Proportional to 355,666.65, 490,813.08 and 194,521.20

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Solution

The fourth proportional to 355,666.65, 490,813.08 and 194,521.20 is: 268,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,666.65 : 490,813.08 = 194,521.20 : x
  2. Step 2: Convert to fraction form
    355,666.65/490,813.08 = 194,521.20/x
  3. Step 3: Cross multiply
    355,666.65x = 490,813.08 × 194,521.20
  4. Step 4: Simplify right side
    355,666.65x = 95,473,549,297.30
  5. Step 5: Solve for x
    x = 95,473,549,297.30/355,666.65
  6. Step 6: Final answer
    x = 268,435.48

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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.