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Finding the Fourth Proportional to 200,643.12, 301,004 and 74,284.40

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Solution

The fourth proportional to 200,643.12, 301,004 and 74,284.40 is: 111,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,643.12 : 301,004 = 74,284.40 : x
  2. Step 2: Convert to fraction form
    200,643.12/301,004 = 74,284.40/x
  3. Step 3: Cross multiply
    200,643.12x = 301,004 × 74,284.40
  4. Step 4: Simplify right side
    200,643.12x = 22,359,901,537.60
  5. Step 5: Solve for x
    x = 22,359,901,537.60/200,643.12
  6. Step 6: Final answer
    x = 111,441.16

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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.