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Finding the Fourth Proportional to 631,529.44, 947,280.80 and 205,064.80

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Solution

The fourth proportional to 631,529.44, 947,280.80 and 205,064.80 is: 307,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,529.44 : 947,280.80 = 205,064.80 : x
  2. Step 2: Convert to fraction form
    631,529.44/947,280.80 = 205,064.80/x
  3. Step 3: Cross multiply
    631,529.44x = 947,280.80 × 205,064.80
  4. Step 4: Simplify right side
    631,529.44x = 194,253,947,795.84
  5. Step 5: Solve for x
    x = 194,253,947,795.84/631,529.44
  6. Step 6: Final answer
    x = 307,592.86

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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.