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Finding the Fourth Proportional to 691,656.46, 954,657.05 and 471,258.31

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Solution

The fourth proportional to 691,656.46, 954,657.05 and 471,258.31 is: 650,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,656.46 : 954,657.05 = 471,258.31 : x
  2. Step 2: Convert to fraction form
    691,656.46/954,657.05 = 471,258.31/x
  3. Step 3: Cross multiply
    691,656.46x = 954,657.05 × 471,258.31
  4. Step 4: Simplify right side
    691,656.46x = 449,890,062,416.69
  5. Step 5: Solve for x
    x = 449,890,062,416.69/691,656.46
  6. Step 6: Final answer
    x = 650,453.06

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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.