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Finding the Fourth Proportional to 547,308, 820,288.08 and 388,677.60

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Solution

The fourth proportional to 547,308, 820,288.08 and 388,677.60 is: 582,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,308 : 820,288.08 = 388,677.60 : x
  2. Step 2: Convert to fraction form
    547,308/820,288.08 = 388,677.60/x
  3. Step 3: Cross multiply
    547,308x = 820,288.08 × 388,677.60
  4. Step 4: Simplify right side
    547,308x = 318,827,602,243.01
  5. Step 5: Solve for x
    x = 318,827,602,243.01/547,308
  6. Step 6: Final answer
    x = 582,537.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.