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Finding the Fourth Proportional to 413,938.59, 620,388.47 and 177,002.65

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Solution

The fourth proportional to 413,938.59, 620,388.47 and 177,002.65 is: 265,281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,938.59 : 620,388.47 = 177,002.65 : x
  2. Step 2: Convert to fraction form
    413,938.59/620,388.47 = 177,002.65/x
  3. Step 3: Cross multiply
    413,938.59x = 620,388.47 × 177,002.65
  4. Step 4: Simplify right side
    413,938.59x = 109,810,403,219.45
  5. Step 5: Solve for x
    x = 109,810,403,219.45/413,938.59
  6. Step 6: Final answer
    x = 265,281.87

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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.