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Finding the Fourth Proportional to 312,240, 468,360 and 115,248

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Solution

The fourth proportional to 312,240, 468,360 and 115,248 is: 172,872

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,240 : 468,360 = 115,248 : x
  2. Step 2: Convert to fraction form
    312,240/468,360 = 115,248/x
  3. Step 3: Cross multiply
    312,240x = 468,360 × 115,248
  4. Step 4: Simplify right side
    312,240x = 53,977,553,280
  5. Step 5: Solve for x
    x = 53,977,553,280/312,240
  6. Step 6: Final answer
    x = 172,872

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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.