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Finding the Fourth Proportional to 339,030.96, 508,348.68 and 102,302.64

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Solution

The fourth proportional to 339,030.96, 508,348.68 and 102,302.64 is: 153,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,030.96 : 508,348.68 = 102,302.64 : x
  2. Step 2: Convert to fraction form
    339,030.96/508,348.68 = 102,302.64/x
  3. Step 3: Cross multiply
    339,030.96x = 508,348.68 × 102,302.64
  4. Step 4: Simplify right side
    339,030.96x = 52,005,412,004.52
  5. Step 5: Solve for x
    x = 52,005,412,004.52/339,030.96
  6. Step 6: Final answer
    x = 153,394.29

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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.