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Finding the Fourth Proportional to 339,339.60, 509,071.94 and 111,648.02

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Solution

The fourth proportional to 339,339.60, 509,071.94 and 111,648.02 is: 167,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,339.60 : 509,071.94 = 111,648.02 : x
  2. Step 2: Convert to fraction form
    339,339.60/509,071.94 = 111,648.02/x
  3. Step 3: Cross multiply
    339,339.60x = 509,071.94 × 111,648.02
  4. Step 4: Simplify right side
    339,339.60x = 56,836,871,034.96
  5. Step 5: Solve for x
    x = 56,836,871,034.96/339,339.60
  6. Step 6: Final answer
    x = 167,492.60

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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.