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Finding the Fourth Proportional to 617,642.16, 852,274.56 and 345,725.28

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Solution

The fourth proportional to 617,642.16, 852,274.56 and 345,725.28 is: 477,060.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,642.16 : 852,274.56 = 345,725.28 : x
  2. Step 2: Convert to fraction form
    617,642.16/852,274.56 = 345,725.28/x
  3. Step 3: Cross multiply
    617,642.16x = 852,274.56 × 345,725.28
  4. Step 4: Simplify right side
    617,642.16x = 294,652,860,892.88
  5. Step 5: Solve for x
    x = 294,652,860,892.88/617,642.16
  6. Step 6: Final answer
    x = 477,060.80

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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.