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Finding the Fourth Proportional to 646,461.68, 969,360.31 and 347,193.95

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Solution

The fourth proportional to 646,461.68, 969,360.31 and 347,193.95 is: 520,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,461.68 : 969,360.31 = 347,193.95 : x
  2. Step 2: Convert to fraction form
    646,461.68/969,360.31 = 347,193.95/x
  3. Step 3: Cross multiply
    646,461.68x = 969,360.31 × 347,193.95
  4. Step 4: Simplify right side
    646,461.68x = 336,556,030,589.32
  5. Step 5: Solve for x
    x = 336,556,030,589.32/646,461.68
  6. Step 6: Final answer
    x = 520,612.50

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1.5x scale

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.