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Finding the Fourth Proportional to 512,807.58, 707,674.43 and 286,453.08

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Solution

The fourth proportional to 512,807.58, 707,674.43 and 286,453.08 is: 395,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,807.58 : 707,674.43 = 286,453.08 : x
  2. Step 2: Convert to fraction form
    512,807.58/707,674.43 = 286,453.08/x
  3. Step 3: Cross multiply
    512,807.58x = 707,674.43 × 286,453.08
  4. Step 4: Simplify right side
    512,807.58x = 202,715,520,826.88
  5. Step 5: Solve for x
    x = 202,715,520,826.88/512,807.58
  6. Step 6: Final answer
    x = 395,305.23

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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.