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Finding the Fourth Proportional to 512,606.58, 707,374.53 and 286,247.22

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Solution

The fourth proportional to 512,606.58, 707,374.53 and 286,247.22 is: 395,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,606.58 : 707,374.53 = 286,247.22 : x
  2. Step 2: Convert to fraction form
    512,606.58/707,374.53 = 286,247.22/x
  3. Step 3: Cross multiply
    512,606.58x = 707,374.53 × 286,247.22
  4. Step 4: Simplify right side
    512,606.58x = 202,483,992,711.31
  5. Step 5: Solve for x
    x = 202,483,992,711.31/512,606.58
  6. Step 6: Final answer
    x = 395,008.57

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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.