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Finding the Fourth Proportional to 288,827.40, 433,010.70 and 122,478.60

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Solution

The fourth proportional to 288,827.40, 433,010.70 and 122,478.60 is: 183,620.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,827.40 : 433,010.70 = 122,478.60 : x
  2. Step 2: Convert to fraction form
    288,827.40/433,010.70 = 122,478.60/x
  3. Step 3: Cross multiply
    288,827.40x = 433,010.70 × 122,478.60
  4. Step 4: Simplify right side
    288,827.40x = 53,034,544,321.02
  5. Step 5: Solve for x
    x = 53,034,544,321.02/288,827.40
  6. Step 6: Final answer
    x = 183,620.20

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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.