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Finding the Fourth Proportional to 205,208.40, 307,812.60 and 57,464.40

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Solution

The fourth proportional to 205,208.40, 307,812.60 and 57,464.40 is: 86,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,208.40 : 307,812.60 = 57,464.40 : x
  2. Step 2: Convert to fraction form
    205,208.40/307,812.60 = 57,464.40/x
  3. Step 3: Cross multiply
    205,208.40x = 307,812.60 × 57,464.40
  4. Step 4: Simplify right side
    205,208.40x = 17,688,266,371.44
  5. Step 5: Solve for x
    x = 17,688,266,371.44/205,208.40
  6. Step 6: Final answer
    x = 86,196.60

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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.