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Finding the Fourth Proportional to 392,686.80, 589,030.20 and 341,365.20

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Solution

The fourth proportional to 392,686.80, 589,030.20 and 341,365.20 is: 512,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,686.80 : 589,030.20 = 341,365.20 : x
  2. Step 2: Convert to fraction form
    392,686.80/589,030.20 = 341,365.20/x
  3. Step 3: Cross multiply
    392,686.80x = 589,030.20 × 341,365.20
  4. Step 4: Simplify right side
    392,686.80x = 201,074,412,029.04
  5. Step 5: Solve for x
    x = 201,074,412,029.04/392,686.80
  6. Step 6: Final answer
    x = 512,047.80

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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.