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Finding the Fourth Proportional to 392,681.80, 589,022.70 and 363,813.40

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Solution

The fourth proportional to 392,681.80, 589,022.70 and 363,813.40 is: 545,720.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,681.80 : 589,022.70 = 363,813.40 : x
  2. Step 2: Convert to fraction form
    392,681.80/589,022.70 = 363,813.40/x
  3. Step 3: Cross multiply
    392,681.80x = 589,022.70 × 363,813.40
  4. Step 4: Simplify right side
    392,681.80x = 214,294,351,164.18
  5. Step 5: Solve for x
    x = 214,294,351,164.18/392,681.80
  6. Step 6: Final answer
    x = 545,720.10

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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.