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Finding the Fourth Proportional to 631,453.68, 947,285.16 and 210,858.48

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Solution

The fourth proportional to 631,453.68, 947,285.16 and 210,858.48 is: 316,322.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,453.68 : 947,285.16 = 210,858.48 : x
  2. Step 2: Convert to fraction form
    631,453.68/947,285.16 = 210,858.48/x
  3. Step 3: Cross multiply
    631,453.68x = 947,285.16 × 210,858.48
  4. Step 4: Simplify right side
    631,453.68x = 199,743,108,964.16
  5. Step 5: Solve for x
    x = 199,743,108,964.16/631,453.68
  6. Step 6: Final answer
    x = 316,322.66

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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.