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Finding the Fourth Proportional to 514,505.05, 709,959.31 and 285,004.91

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Solution

The fourth proportional to 514,505.05, 709,959.31 and 285,004.91 is: 393,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,505.05 : 709,959.31 = 285,004.91 : x
  2. Step 2: Convert to fraction form
    514,505.05/709,959.31 = 285,004.91/x
  3. Step 3: Cross multiply
    514,505.05x = 709,959.31 × 285,004.91
  4. Step 4: Simplify right side
    514,505.05x = 202,341,889,250.21
  5. Step 5: Solve for x
    x = 202,341,889,250.21/514,505.05
  6. Step 6: Final answer
    x = 393,274.84

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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.