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Finding the Fourth Proportional to 312,077.40, 468,116.10 and 264,838.20

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Solution

The fourth proportional to 312,077.40, 468,116.10 and 264,838.20 is: 397,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,077.40 : 468,116.10 = 264,838.20 : x
  2. Step 2: Convert to fraction form
    312,077.40/468,116.10 = 264,838.20/x
  3. Step 3: Cross multiply
    312,077.40x = 468,116.10 × 264,838.20
  4. Step 4: Simplify right side
    312,077.40x = 123,975,025,315.02
  5. Step 5: Solve for x
    x = 123,975,025,315.02/312,077.40
  6. Step 6: Final answer
    x = 397,257.30

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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.