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Finding the Fourth Proportional to 306,661, 459,991.50 and 85,045

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Solution

The fourth proportional to 306,661, 459,991.50 and 85,045 is: 127,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,661 : 459,991.50 = 85,045 : x
  2. Step 2: Convert to fraction form
    306,661/459,991.50 = 85,045/x
  3. Step 3: Cross multiply
    306,661x = 459,991.50 × 85,045
  4. Step 4: Simplify right side
    306,661x = 39,119,977,117.50
  5. Step 5: Solve for x
    x = 39,119,977,117.50/306,661
  6. Step 6: Final answer
    x = 127,567.50

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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.