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Finding the Fourth Proportional to 646,757.76, 970,634.80 and 520,706.40

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Solution

The fourth proportional to 646,757.76, 970,634.80 and 520,706.40 is: 781,460.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,757.76 : 970,634.80 = 520,706.40 : x
  2. Step 2: Convert to fraction form
    646,757.76/970,634.80 = 520,706.40/x
  3. Step 3: Cross multiply
    646,757.76x = 970,634.80 × 520,706.40
  4. Step 4: Simplify right side
    646,757.76x = 505,415,752,422.72
  5. Step 5: Solve for x
    x = 505,415,752,422.72/646,757.76
  6. Step 6: Final answer
    x = 781,460.67

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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.