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Finding the Fourth Proportional to 500,157.45, 750,309.98 and 145,125.32

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Solution

The fourth proportional to 500,157.45, 750,309.98 and 145,125.32 is: 217,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,157.45 : 750,309.98 = 145,125.32 : x
  2. Step 2: Convert to fraction form
    500,157.45/750,309.98 = 145,125.32/x
  3. Step 3: Cross multiply
    500,157.45x = 750,309.98 × 145,125.32
  4. Step 4: Simplify right side
    500,157.45x = 108,888,971,469.52
  5. Step 5: Solve for x
    x = 108,888,971,469.52/500,157.45
  6. Step 6: Final answer
    x = 217,709.39

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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.