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Finding the Fourth Proportional to 452,515.20, 678,860.16 and 172,010.64

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Solution

The fourth proportional to 452,515.20, 678,860.16 and 172,010.64 is: 258,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,515.20 : 678,860.16 = 172,010.64 : x
  2. Step 2: Convert to fraction form
    452,515.20/678,860.16 = 172,010.64/x
  3. Step 3: Cross multiply
    452,515.20x = 678,860.16 × 172,010.64
  4. Step 4: Simplify right side
    452,515.20x = 116,771,170,592.10
  5. Step 5: Solve for x
    x = 116,771,170,592.10/452,515.20
  6. Step 6: Final answer
    x = 258,049.17

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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.