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Finding the Fourth Proportional to 571,698.24, 789,196.80 and 400,290

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Solution

The fourth proportional to 571,698.24, 789,196.80 and 400,290 is: 552,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,698.24 : 789,196.80 = 400,290 : x
  2. Step 2: Convert to fraction form
    571,698.24/789,196.80 = 400,290/x
  3. Step 3: Cross multiply
    571,698.24x = 789,196.80 × 400,290
  4. Step 4: Simplify right side
    571,698.24x = 315,907,587,072
  5. Step 5: Solve for x
    x = 315,907,587,072/571,698.24
  6. Step 6: Final answer
    x = 552,577.50

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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.