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Finding the Fourth Proportional to 471,338.16, 650,436.03 and 256,478.82

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Solution

The fourth proportional to 471,338.16, 650,436.03 and 256,478.82 is: 353,934.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,338.16 : 650,436.03 = 256,478.82 : x
  2. Step 2: Convert to fraction form
    471,338.16/650,436.03 = 256,478.82/x
  3. Step 3: Cross multiply
    471,338.16x = 650,436.03 × 256,478.82
  4. Step 4: Simplify right side
    471,338.16x = 166,823,065,459.89
  5. Step 5: Solve for x
    x = 166,823,065,459.89/471,338.16
  6. Step 6: Final answer
    x = 353,934.99

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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.