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Finding the Fourth Proportional to 519,065.10, 716,174.28 and 304,089.57

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Solution

The fourth proportional to 519,065.10, 716,174.28 and 304,089.57 is: 419,564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,065.10 : 716,174.28 = 304,089.57 : x
  2. Step 2: Convert to fraction form
    519,065.10/716,174.28 = 304,089.57/x
  3. Step 3: Cross multiply
    519,065.10x = 716,174.28 × 304,089.57
  4. Step 4: Simplify right side
    519,065.10x = 217,781,128,850.26
  5. Step 5: Solve for x
    x = 217,781,128,850.26/519,065.10
  6. Step 6: Final answer
    x = 419,564.19

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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.