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Finding the Fourth Proportional to 393,930, 542,048.70 and 382,907.52

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Solution

The fourth proportional to 393,930, 542,048.70 and 382,907.52 is: 526,881.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,930 : 542,048.70 = 382,907.52 : x
  2. Step 2: Convert to fraction form
    393,930/542,048.70 = 382,907.52/x
  3. Step 3: Cross multiply
    393,930x = 542,048.70 × 382,907.52
  4. Step 4: Simplify right side
    393,930x = 207,554,523,436.22
  5. Step 5: Solve for x
    x = 207,554,523,436.22/393,930
  6. Step 6: Final answer
    x = 526,881.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.