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Finding the Fourth Proportional to 243,246.40, 364,869.60 and 199,506.40

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Solution

The fourth proportional to 243,246.40, 364,869.60 and 199,506.40 is: 299,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,246.40 : 364,869.60 = 199,506.40 : x
  2. Step 2: Convert to fraction form
    243,246.40/364,869.60 = 199,506.40/x
  3. Step 3: Cross multiply
    243,246.40x = 364,869.60 × 199,506.40
  4. Step 4: Simplify right side
    243,246.40x = 72,793,820,365.44
  5. Step 5: Solve for x
    x = 72,793,820,365.44/243,246.40
  6. Step 6: Final answer
    x = 299,259.60

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1.5x scale

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.