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Finding the Fourth Proportional to 464,928, 697,392 and 114,720

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Solution

The fourth proportional to 464,928, 697,392 and 114,720 is: 172,080

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,928 : 697,392 = 114,720 : x
  2. Step 2: Convert to fraction form
    464,928/697,392 = 114,720/x
  3. Step 3: Cross multiply
    464,928x = 697,392 × 114,720
  4. Step 4: Simplify right side
    464,928x = 80,004,810,240
  5. Step 5: Solve for x
    x = 80,004,810,240/464,928
  6. Step 6: Final answer
    x = 172,080

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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.