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Finding the Fourth Proportional to 243,214.40, 364,821.60 and 65,716.40

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Solution

The fourth proportional to 243,214.40, 364,821.60 and 65,716.40 is: 98,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,214.40 : 364,821.60 = 65,716.40 : x
  2. Step 2: Convert to fraction form
    243,214.40/364,821.60 = 65,716.40/x
  3. Step 3: Cross multiply
    243,214.40x = 364,821.60 × 65,716.40
  4. Step 4: Simplify right side
    243,214.40x = 23,974,762,194.24
  5. Step 5: Solve for x
    x = 23,974,762,194.24/243,214.40
  6. Step 6: Final answer
    x = 98,574.60

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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.