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Finding the Fourth Proportional to 282,459, 423,688.14 and 72,096.96

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Solution

The fourth proportional to 282,459, 423,688.14 and 72,096.96 is: 108,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,459 : 423,688.14 = 72,096.96 : x
  2. Step 2: Convert to fraction form
    282,459/423,688.14 = 72,096.96/x
  3. Step 3: Cross multiply
    282,459x = 423,688.14 × 72,096.96
  4. Step 4: Simplify right side
    282,459x = 30,546,626,882.05
  5. Step 5: Solve for x
    x = 30,546,626,882.05/282,459
  6. Step 6: Final answer
    x = 108,145.35

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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.