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Finding the Fourth Proportional to 519,065.60, 716,174.97 and 304,090.10

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Solution

The fourth proportional to 519,065.60, 716,174.97 and 304,090.10 is: 419,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,065.60 : 716,174.97 = 304,090.10 : x
  2. Step 2: Convert to fraction form
    519,065.60/716,174.97 = 304,090.10/x
  3. Step 3: Cross multiply
    519,065.60x = 716,174.97 × 304,090.10
  4. Step 4: Simplify right side
    519,065.60x = 217,781,718,244.80
  5. Step 5: Solve for x
    x = 217,781,718,244.80/519,065.60
  6. Step 6: Final answer
    x = 419,564.92

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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.