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Finding the Fourth Proportional to 567,770.36, 783,523.80 and 309,647.84

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Solution

The fourth proportional to 567,770.36, 783,523.80 and 309,647.84 is: 427,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,770.36 : 783,523.80 = 309,647.84 : x
  2. Step 2: Convert to fraction form
    567,770.36/783,523.80 = 309,647.84/x
  3. Step 3: Cross multiply
    567,770.36x = 783,523.80 × 309,647.84
  4. Step 4: Simplify right side
    567,770.36x = 242,616,448,340.97
  5. Step 5: Solve for x
    x = 242,616,448,340.97/567,770.36
  6. Step 6: Final answer
    x = 427,314.40

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1.5x scale

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.