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Finding the Fourth Proportional to 314,688.56, 471,930.76 and 104,270

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Solution

The fourth proportional to 314,688.56, 471,930.76 and 104,270 is: 156,371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,688.56 : 471,930.76 = 104,270 : x
  2. Step 2: Convert to fraction form
    314,688.56/471,930.76 = 104,270/x
  3. Step 3: Cross multiply
    314,688.56x = 471,930.76 × 104,270
  4. Step 4: Simplify right side
    314,688.56x = 49,208,220,345.20
  5. Step 5: Solve for x
    x = 49,208,220,345.20/314,688.56
  6. Step 6: Final answer
    x = 156,371.18

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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.