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Finding the Fourth Proportional to 631,641.56, 947,611.06 and 205,176.06

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Solution

The fourth proportional to 631,641.56, 947,611.06 and 205,176.06 is: 307,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,641.56 : 947,611.06 = 205,176.06 : x
  2. Step 2: Convert to fraction form
    631,641.56/947,611.06 = 205,176.06/x
  3. Step 3: Cross multiply
    631,641.56x = 947,611.06 × 205,176.06
  4. Step 4: Simplify right side
    631,641.56x = 194,427,103,703.22
  5. Step 5: Solve for x
    x = 194,427,103,703.22/631,641.56
  6. Step 6: Final answer
    x = 307,812.40

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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.