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Finding the Fourth Proportional to 288,914.85, 433,339.47 and 111,407.00

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Solution

The fourth proportional to 288,914.85, 433,339.47 and 111,407.00 is: 167,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,914.85 : 433,339.47 = 111,407.00 : x
  2. Step 2: Convert to fraction form
    288,914.85/433,339.47 = 111,407.00/x
  3. Step 3: Cross multiply
    288,914.85x = 433,339.47 × 111,407.00
  4. Step 4: Simplify right side
    288,914.85x = 48,277,048,167.59
  5. Step 5: Solve for x
    x = 48,277,048,167.59/288,914.85
  6. Step 6: Final answer
    x = 167,097.84

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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.