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Finding the Fourth Proportional to 499,971.88, 749,803.32 and 145,012

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Solution

The fourth proportional to 499,971.88, 749,803.32 and 145,012 is: 217,473.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,971.88 : 749,803.32 = 145,012 : x
  2. Step 2: Convert to fraction form
    499,971.88/749,803.32 = 145,012/x
  3. Step 3: Cross multiply
    499,971.88x = 749,803.32 × 145,012
  4. Step 4: Simplify right side
    499,971.88x = 108,730,479,039.84
  5. Step 5: Solve for x
    x = 108,730,479,039.84/499,971.88
  6. Step 6: Final answer
    x = 217,473.19

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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.