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Finding the Fourth Proportional to 370,428.16, 511,071.68 and 227,116.48

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Solution

The fourth proportional to 370,428.16, 511,071.68 and 227,116.48 is: 313,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,428.16 : 511,071.68 = 227,116.48 : x
  2. Step 2: Convert to fraction form
    370,428.16/511,071.68 = 227,116.48/x
  3. Step 3: Cross multiply
    370,428.16x = 511,071.68 × 227,116.48
  4. Step 4: Simplify right side
    370,428.16x = 116,072,800,989.29
  5. Step 5: Solve for x
    x = 116,072,800,989.29/370,428.16
  6. Step 6: Final answer
    x = 313,347.67

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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.