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Finding the Fourth Proportional to 499,185.34, 688,796.13 and 284,329.60

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Solution

The fourth proportional to 499,185.34, 688,796.13 and 284,329.60 is: 392,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,185.34 : 688,796.13 = 284,329.60 : x
  2. Step 2: Convert to fraction form
    499,185.34/688,796.13 = 284,329.60/x
  3. Step 3: Cross multiply
    499,185.34x = 688,796.13 × 284,329.60
  4. Step 4: Simplify right side
    499,185.34x = 195,845,128,124.45
  5. Step 5: Solve for x
    x = 195,845,128,124.45/499,185.34
  6. Step 6: Final answer
    x = 392,329.49

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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.