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Finding the Fourth Proportional to 631,490.40, 947,213.76 and 158,179.84

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Solution

The fourth proportional to 631,490.40, 947,213.76 and 158,179.84 is: 237,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,490.40 : 947,213.76 = 158,179.84 : x
  2. Step 2: Convert to fraction form
    631,490.40/947,213.76 = 158,179.84/x
  3. Step 3: Cross multiply
    631,490.40x = 947,213.76 × 158,179.84
  4. Step 4: Simplify right side
    631,490.40x = 149,830,121,002.60
  5. Step 5: Solve for x
    x = 149,830,121,002.60/631,490.40
  6. Step 6: Final answer
    x = 237,264.29

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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.