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Finding the Fourth Proportional to 512,989.14, 707,923.53 and 286,634.82

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Solution

The fourth proportional to 512,989.14, 707,923.53 and 286,634.82 is: 395,555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,989.14 : 707,923.53 = 286,634.82 : x
  2. Step 2: Convert to fraction form
    512,989.14/707,923.53 = 286,634.82/x
  3. Step 3: Cross multiply
    512,989.14x = 707,923.53 × 286,634.82
  4. Step 4: Simplify right side
    512,989.14x = 202,915,533,595.32
  5. Step 5: Solve for x
    x = 202,915,533,595.32/512,989.14
  6. Step 6: Final answer
    x = 395,555.22

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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.