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Finding the Fourth Proportional to 390,936.40, 586,015.80 and 180,206.80

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Solution

The fourth proportional to 390,936.40, 586,015.80 and 180,206.80 is: 270,130.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,936.40 : 586,015.80 = 180,206.80 : x
  2. Step 2: Convert to fraction form
    390,936.40/586,015.80 = 180,206.80/x
  3. Step 3: Cross multiply
    390,936.40x = 586,015.80 × 180,206.80
  4. Step 4: Simplify right side
    390,936.40x = 105,604,032,067.44
  5. Step 5: Solve for x
    x = 105,604,032,067.44/390,936.40
  6. Step 6: Final answer
    x = 270,130.98

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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.