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Finding the Fourth Proportional to 631,608.48, 947,430 and 210,869.28

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Solution

The fourth proportional to 631,608.48, 947,430 and 210,869.28 is: 316,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,608.48 : 947,430 = 210,869.28 : x
  2. Step 2: Convert to fraction form
    631,608.48/947,430 = 210,869.28/x
  3. Step 3: Cross multiply
    631,608.48x = 947,430 × 210,869.28
  4. Step 4: Simplify right side
    631,608.48x = 199,783,881,950.40
  5. Step 5: Solve for x
    x = 199,783,881,950.40/631,608.48
  6. Step 6: Final answer
    x = 316,309.69

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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.