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Finding the Fourth Proportional to 525,299.36, 786,686.46 and 299,977.64

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Solution

The fourth proportional to 525,299.36, 786,686.46 and 299,977.64 is: 449,245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,299.36 : 786,686.46 = 299,977.64 : x
  2. Step 2: Convert to fraction form
    525,299.36/786,686.46 = 299,977.64/x
  3. Step 3: Cross multiply
    525,299.36x = 786,686.46 × 299,977.64
  4. Step 4: Simplify right side
    525,299.36x = 235,988,347,690.75
  5. Step 5: Solve for x
    x = 235,988,347,690.75/525,299.36
  6. Step 6: Final answer
    x = 449,245.45

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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.