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Finding the Fourth Proportional to 535,485.60, 738,963.81 and 293,770.02

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Solution

The fourth proportional to 535,485.60, 738,963.81 and 293,770.02 is: 405,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,485.60 : 738,963.81 = 293,770.02 : x
  2. Step 2: Convert to fraction form
    535,485.60/738,963.81 = 293,770.02/x
  3. Step 3: Cross multiply
    535,485.60x = 738,963.81 × 293,770.02
  4. Step 4: Simplify right side
    535,485.60x = 217,085,413,242.98
  5. Step 5: Solve for x
    x = 217,085,413,242.98/535,485.60
  6. Step 6: Final answer
    x = 405,399.16

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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.