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Finding the Fourth Proportional to 853,469.76, 1,177,803.40 and 471,473.76

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Solution

The fourth proportional to 853,469.76, 1,177,803.40 and 471,473.76 is: 650,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,469.76 : 1,177,803.40 = 471,473.76 : x
  2. Step 2: Convert to fraction form
    853,469.76/1,177,803.40 = 471,473.76/x
  3. Step 3: Cross multiply
    853,469.76x = 1,177,803.40 × 471,473.76
  4. Step 4: Simplify right side
    853,469.76x = 555,303,397,538.78
  5. Step 5: Solve for x
    x = 555,303,397,538.78/853,469.76
  6. Step 6: Final answer
    x = 650,642.15

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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.