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Finding the Fourth Proportional to 646,276.80, 969,415.20 and 409,886.40

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Solution

The fourth proportional to 646,276.80, 969,415.20 and 409,886.40 is: 614,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,276.80 : 969,415.20 = 409,886.40 : x
  2. Step 2: Convert to fraction form
    646,276.80/969,415.20 = 409,886.40/x
  3. Step 3: Cross multiply
    646,276.80x = 969,415.20 × 409,886.40
  4. Step 4: Simplify right side
    646,276.80x = 397,350,106,433.28
  5. Step 5: Solve for x
    x = 397,350,106,433.28/646,276.80
  6. Step 6: Final answer
    x = 614,829.60

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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.