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Finding the Fourth Proportional to 421,256.56, 631,969.53 and 155,018.47

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Solution

The fourth proportional to 421,256.56, 631,969.53 and 155,018.47 is: 232,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,256.56 : 631,969.53 = 155,018.47 : x
  2. Step 2: Convert to fraction form
    421,256.56/631,969.53 = 155,018.47/x
  3. Step 3: Cross multiply
    421,256.56x = 631,969.53 × 155,018.47
  4. Step 4: Simplify right side
    421,256.56x = 97,966,949,627.22
  5. Step 5: Solve for x
    x = 97,966,949,627.22/421,256.56
  6. Step 6: Final answer
    x = 232,558.87

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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.