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Finding the Fourth Proportional to 550,370.64, 824,389.56 and 415,768.08

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Solution

The fourth proportional to 550,370.64, 824,389.56 and 415,768.08 is: 622,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,370.64 : 824,389.56 = 415,768.08 : x
  2. Step 2: Convert to fraction form
    550,370.64/824,389.56 = 415,768.08/x
  3. Step 3: Cross multiply
    550,370.64x = 824,389.56 × 415,768.08
  4. Step 4: Simplify right side
    550,370.64x = 342,754,864,533.25
  5. Step 5: Solve for x
    x = 342,754,864,533.25/550,370.64
  6. Step 6: Final answer
    x = 622,770.98

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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.