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Finding the Fourth Proportional to 540,494.40, 810,061.20 and 274,328.40

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Solution

The fourth proportional to 540,494.40, 810,061.20 and 274,328.40 is: 411,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,494.40 : 810,061.20 = 274,328.40 : x
  2. Step 2: Convert to fraction form
    540,494.40/810,061.20 = 274,328.40/x
  3. Step 3: Cross multiply
    540,494.40x = 810,061.20 × 274,328.40
  4. Step 4: Simplify right side
    540,494.40x = 222,222,792,898.08
  5. Step 5: Solve for x
    x = 222,222,792,898.08/540,494.40
  6. Step 6: Final answer
    x = 411,147.26

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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.