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Finding the Fourth Proportional to 967,830, 1,335,605.40 and 543,894

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Solution

The fourth proportional to 967,830, 1,335,605.40 and 543,894 is: 750,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,830 : 1,335,605.40 = 543,894 : x
  2. Step 2: Convert to fraction form
    967,830/1,335,605.40 = 543,894/x
  3. Step 3: Cross multiply
    967,830x = 1,335,605.40 × 543,894
  4. Step 4: Simplify right side
    967,830x = 726,427,763,427.60
  5. Step 5: Solve for x
    x = 726,427,763,427.60/967,830
  6. Step 6: Final answer
    x = 750,573.72

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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.