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Finding the Fourth Proportional to 403,624.40, 605,436.60 and 384,270.80

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Solution

The fourth proportional to 403,624.40, 605,436.60 and 384,270.80 is: 576,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,624.40 : 605,436.60 = 384,270.80 : x
  2. Step 2: Convert to fraction form
    403,624.40/605,436.60 = 384,270.80/x
  3. Step 3: Cross multiply
    403,624.40x = 605,436.60 × 384,270.80
  4. Step 4: Simplify right side
    403,624.40x = 232,651,606,631.28
  5. Step 5: Solve for x
    x = 232,651,606,631.28/403,624.40
  6. Step 6: Final answer
    x = 576,406.20

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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.