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Finding the Fourth Proportional to 648,037.56, 972,056.34 and 204,771

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Solution

The fourth proportional to 648,037.56, 972,056.34 and 204,771 is: 307,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,037.56 : 972,056.34 = 204,771 : x
  2. Step 2: Convert to fraction form
    648,037.56/972,056.34 = 204,771/x
  3. Step 3: Cross multiply
    648,037.56x = 972,056.34 × 204,771
  4. Step 4: Simplify right side
    648,037.56x = 199,048,948,798.14
  5. Step 5: Solve for x
    x = 199,048,948,798.14/648,037.56
  6. Step 6: Final answer
    x = 307,156.50

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Similar ratio
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1.5x scale

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.