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Finding the Fourth Proportional to 617,909.16, 852,644.16 and 345,939.24

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Solution

The fourth proportional to 617,909.16, 852,644.16 and 345,939.24 is: 477,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,909.16 : 852,644.16 = 345,939.24 : x
  2. Step 2: Convert to fraction form
    617,909.16/852,644.16 = 345,939.24/x
  3. Step 3: Cross multiply
    617,909.16x = 852,644.16 × 345,939.24
  4. Step 4: Simplify right side
    617,909.16x = 294,963,072,700.84
  5. Step 5: Solve for x
    x = 294,963,072,700.84/617,909.16
  6. Step 6: Final answer
    x = 477,356.69

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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.