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Finding the Fourth Proportional to 431,402.16, 646,662.60 and 150,688.56

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Solution

The fourth proportional to 431,402.16, 646,662.60 and 150,688.56 is: 225,878.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,402.16 : 646,662.60 = 150,688.56 : x
  2. Step 2: Convert to fraction form
    431,402.16/646,662.60 = 150,688.56/x
  3. Step 3: Cross multiply
    431,402.16x = 646,662.60 × 150,688.56
  4. Step 4: Simplify right side
    431,402.16x = 97,444,655,999.86
  5. Step 5: Solve for x
    x = 97,444,655,999.86/431,402.16
  6. Step 6: Final answer
    x = 225,878.92

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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.