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Finding the Fourth Proportional to 370,301.76, 511,025.76 and 227,140.74

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Solution

The fourth proportional to 370,301.76, 511,025.76 and 227,140.74 is: 313,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,301.76 : 511,025.76 = 227,140.74 : x
  2. Step 2: Convert to fraction form
    370,301.76/511,025.76 = 227,140.74/x
  3. Step 3: Cross multiply
    370,301.76x = 511,025.76 × 227,140.74
  4. Step 4: Simplify right side
    370,301.76x = 116,074,769,285.46
  5. Step 5: Solve for x
    x = 116,074,769,285.46/370,301.76
  6. Step 6: Final answer
    x = 313,459.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.