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Finding the Fourth Proportional to 617,588.64, 852,151.20 and 345,668.40

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Solution

The fourth proportional to 617,588.64, 852,151.20 and 345,668.40 is: 476,954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,588.64 : 852,151.20 = 345,668.40 : x
  2. Step 2: Convert to fraction form
    617,588.64/852,151.20 = 345,668.40/x
  3. Step 3: Cross multiply
    617,588.64x = 852,151.20 × 345,668.40
  4. Step 4: Simplify right side
    617,588.64x = 294,561,741,862.08
  5. Step 5: Solve for x
    x = 294,561,741,862.08/617,588.64
  6. Step 6: Final answer
    x = 476,954.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.