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Finding the Fourth Proportional to 516,921.48, 775,294.74 and 142,857

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Solution

The fourth proportional to 516,921.48, 775,294.74 and 142,857 is: 214,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,921.48 : 775,294.74 = 142,857 : x
  2. Step 2: Convert to fraction form
    516,921.48/775,294.74 = 142,857/x
  3. Step 3: Cross multiply
    516,921.48x = 775,294.74 × 142,857
  4. Step 4: Simplify right side
    516,921.48x = 110,756,280,672.18
  5. Step 5: Solve for x
    x = 110,756,280,672.18/516,921.48
  6. Step 6: Final answer
    x = 214,261.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.