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Finding the Fourth Proportional to 312,097.20, 468,145.80 and 298,975.20

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Solution

The fourth proportional to 312,097.20, 468,145.80 and 298,975.20 is: 448,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,097.20 : 468,145.80 = 298,975.20 : x
  2. Step 2: Convert to fraction form
    312,097.20/468,145.80 = 298,975.20/x
  3. Step 3: Cross multiply
    312,097.20x = 468,145.80 × 298,975.20
  4. Step 4: Simplify right side
    312,097.20x = 139,963,984,184.16
  5. Step 5: Solve for x
    x = 139,963,984,184.16/312,097.20
  6. Step 6: Final answer
    x = 448,462.80

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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.