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Finding the Fourth Proportional to 525,314.43, 786,708.23 and 299,991.87

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Solution

The fourth proportional to 525,314.43, 786,708.23 and 299,991.87 is: 449,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,314.43 : 786,708.23 = 299,991.87 : x
  2. Step 2: Convert to fraction form
    525,314.43/786,708.23 = 299,991.87/x
  3. Step 3: Cross multiply
    525,314.43x = 786,708.23 × 299,991.87
  4. Step 4: Simplify right side
    525,314.43x = 236,006,071,562.13
  5. Step 5: Solve for x
    x = 236,006,071,562.13/525,314.43
  6. Step 6: Final answer
    x = 449,266.30

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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.