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Finding the Fourth Proportional to 480,384, 720,576 and 130,176

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Solution

The fourth proportional to 480,384, 720,576 and 130,176 is: 195,264

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,384 : 720,576 = 130,176 : x
  2. Step 2: Convert to fraction form
    480,384/720,576 = 130,176/x
  3. Step 3: Cross multiply
    480,384x = 720,576 × 130,176
  4. Step 4: Simplify right side
    480,384x = 93,801,701,376
  5. Step 5: Solve for x
    x = 93,801,701,376/480,384
  6. Step 6: Final answer
    x = 195,264

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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.