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Finding the Fourth Proportional to 310,212.56, 465,457.08 and 162,434

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Solution

The fourth proportional to 310,212.56, 465,457.08 and 162,434 is: 243,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,212.56 : 465,457.08 = 162,434 : x
  2. Step 2: Convert to fraction form
    310,212.56/465,457.08 = 162,434/x
  3. Step 3: Cross multiply
    310,212.56x = 465,457.08 × 162,434
  4. Step 4: Simplify right side
    310,212.56x = 75,606,055,332.72
  5. Step 5: Solve for x
    x = 75,606,055,332.72/310,212.56
  6. Step 6: Final answer
    x = 243,723.39

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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.