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Finding the Fourth Proportional to 516,945, 775,417.50 and 142,968

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Solution

The fourth proportional to 516,945, 775,417.50 and 142,968 is: 214,452

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,945 : 775,417.50 = 142,968 : x
  2. Step 2: Convert to fraction form
    516,945/775,417.50 = 142,968/x
  3. Step 3: Cross multiply
    516,945x = 775,417.50 × 142,968
  4. Step 4: Simplify right side
    516,945x = 110,859,889,140
  5. Step 5: Solve for x
    x = 110,859,889,140/516,945
  6. Step 6: Final answer
    x = 214,452

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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.