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Finding the Fourth Proportional to 199,405.60, 299,205.60 and 152,004.40

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Solution

The fourth proportional to 199,405.60, 299,205.60 and 152,004.40 is: 228,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,405.60 : 299,205.60 = 152,004.40 : x
  2. Step 2: Convert to fraction form
    199,405.60/299,205.60 = 152,004.40/x
  3. Step 3: Cross multiply
    199,405.60x = 299,205.60 × 152,004.40
  4. Step 4: Simplify right side
    199,405.60x = 45,480,567,704.64
  5. Step 5: Solve for x
    x = 45,480,567,704.64/199,405.60
  6. Step 6: Final answer
    x = 228,080.69

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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.