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Finding the Fourth Proportional to 339,306.40, 509,017.20 and 102,647.20

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Solution

The fourth proportional to 339,306.40, 509,017.20 and 102,647.20 is: 153,988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,306.40 : 509,017.20 = 102,647.20 : x
  2. Step 2: Convert to fraction form
    339,306.40/509,017.20 = 102,647.20/x
  3. Step 3: Cross multiply
    339,306.40x = 509,017.20 × 102,647.20
  4. Step 4: Simplify right side
    339,306.40x = 52,249,190,331.84
  5. Step 5: Solve for x
    x = 52,249,190,331.84/339,306.40
  6. Step 6: Final answer
    x = 153,988.23

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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.