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Finding the Fourth Proportional to 540,386.96, 810,596.96 and 185,396

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Solution

The fourth proportional to 540,386.96, 810,596.96 and 185,396 is: 278,099.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,386.96 : 810,596.96 = 185,396 : x
  2. Step 2: Convert to fraction form
    540,386.96/810,596.96 = 185,396/x
  3. Step 3: Cross multiply
    540,386.96x = 810,596.96 × 185,396
  4. Step 4: Simplify right side
    540,386.96x = 150,281,433,996.16
  5. Step 5: Solve for x
    x = 150,281,433,996.16/540,386.96
  6. Step 6: Final answer
    x = 278,099.67

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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.