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Finding the Fourth Proportional to 340,970.40, 511,455.60 and 277,984.80

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Solution

The fourth proportional to 340,970.40, 511,455.60 and 277,984.80 is: 416,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,970.40 : 511,455.60 = 277,984.80 : x
  2. Step 2: Convert to fraction form
    340,970.40/511,455.60 = 277,984.80/x
  3. Step 3: Cross multiply
    340,970.40x = 511,455.60 × 277,984.80
  4. Step 4: Simplify right side
    340,970.40x = 142,176,882,674.88
  5. Step 5: Solve for x
    x = 142,176,882,674.88/340,970.40
  6. Step 6: Final answer
    x = 416,977.20

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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.