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Finding the Fourth Proportional to 403,823.80, 605,006.70 and 235,206.10

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Solution

The fourth proportional to 403,823.80, 605,006.70 and 235,206.10 is: 352,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,823.80 : 605,006.70 = 235,206.10 : x
  2. Step 2: Convert to fraction form
    403,823.80/605,006.70 = 235,206.10/x
  3. Step 3: Cross multiply
    403,823.80x = 605,006.70 × 235,206.10
  4. Step 4: Simplify right side
    403,823.80x = 142,301,266,380.87
  5. Step 5: Solve for x
    x = 142,301,266,380.87/403,823.80
  6. Step 6: Final answer
    x = 352,384.55

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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.