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Finding the Fourth Proportional to 516,947, 775,420.50 and 142,970

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Solution

The fourth proportional to 516,947, 775,420.50 and 142,970 is: 214,455

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,947 : 775,420.50 = 142,970 : x
  2. Step 2: Convert to fraction form
    516,947/775,420.50 = 142,970/x
  3. Step 3: Cross multiply
    516,947x = 775,420.50 × 142,970
  4. Step 4: Simplify right side
    516,947x = 110,861,868,885
  5. Step 5: Solve for x
    x = 110,861,868,885/516,947
  6. Step 6: Final answer
    x = 214,455

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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.