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Finding the Fourth Proportional to 631,614.40, 947,114.16 and 210,748

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Solution

The fourth proportional to 631,614.40, 947,114.16 and 210,748 is: 316,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,614.40 : 947,114.16 = 210,748 : x
  2. Step 2: Convert to fraction form
    631,614.40/947,114.16 = 210,748/x
  3. Step 3: Cross multiply
    631,614.40x = 947,114.16 × 210,748
  4. Step 4: Simplify right side
    631,614.40x = 199,602,414,991.68
  5. Step 5: Solve for x
    x = 199,602,414,991.68/631,614.40
  6. Step 6: Final answer
    x = 316,019.42

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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.