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Finding the Fourth Proportional to 411,286, 617,019.72 and 174,830.80

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Solution

The fourth proportional to 411,286, 617,019.72 and 174,830.80 is: 262,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,286 : 617,019.72 = 174,830.80 : x
  2. Step 2: Convert to fraction form
    411,286/617,019.72 = 174,830.80/x
  3. Step 3: Cross multiply
    411,286x = 617,019.72 × 174,830.80
  4. Step 4: Simplify right side
    411,286x = 107,874,051,263.38
  5. Step 5: Solve for x
    x = 107,874,051,263.38/411,286
  6. Step 6: Final answer
    x = 262,284.76

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1.5x scale

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.