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Finding the Fourth Proportional to 631,405.68, 947,116.73 and 210,681.56

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Solution

The fourth proportional to 631,405.68, 947,116.73 and 210,681.56 is: 316,025.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,405.68 : 947,116.73 = 210,681.56 : x
  2. Step 2: Convert to fraction form
    631,405.68/947,116.73 = 210,681.56/x
  3. Step 3: Cross multiply
    631,405.68x = 947,116.73 × 210,681.56
  4. Step 4: Simplify right side
    631,405.68x = 199,540,024,389.51
  5. Step 5: Solve for x
    x = 199,540,024,389.51/631,405.68
  6. Step 6: Final answer
    x = 316,025.07

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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.