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Finding the Fourth Proportional to 646,989.70, 970,657.35 and 577,351.30

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Solution

The fourth proportional to 646,989.70, 970,657.35 and 577,351.30 is: 866,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,989.70 : 970,657.35 = 577,351.30 : x
  2. Step 2: Convert to fraction form
    646,989.70/970,657.35 = 577,351.30/x
  3. Step 3: Cross multiply
    646,989.70x = 970,657.35 × 577,351.30
  4. Step 4: Simplify right side
    646,989.70x = 560,410,282,877.06
  5. Step 5: Solve for x
    x = 560,410,282,877.06/646,989.70
  6. Step 6: Final answer
    x = 866,181.15

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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.