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Finding the Fourth Proportional to 611,772.50, 916,715.60 and 327,500.77

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Solution

The fourth proportional to 611,772.50, 916,715.60 and 327,500.77 is: 490,746.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,772.50 : 916,715.60 = 327,500.77 : x
  2. Step 2: Convert to fraction form
    611,772.50/916,715.60 = 327,500.77/x
  3. Step 3: Cross multiply
    611,772.50x = 916,715.60 × 327,500.77
  4. Step 4: Simplify right side
    611,772.50x = 300,225,067,245.03
  5. Step 5: Solve for x
    x = 300,225,067,245.03/611,772.50
  6. Step 6: Final answer
    x = 490,746.26

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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.