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Finding the Fourth Proportional to 427,075.74, 640,690.56 and 142,738.20

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Solution

The fourth proportional to 427,075.74, 640,690.56 and 142,738.20 is: 214,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,075.74 : 640,690.56 = 142,738.20 : x
  2. Step 2: Convert to fraction form
    427,075.74/640,690.56 = 142,738.20/x
  3. Step 3: Cross multiply
    427,075.74x = 640,690.56 × 142,738.20
  4. Step 4: Simplify right side
    427,075.74x = 91,451,017,291.39
  5. Step 5: Solve for x
    x = 91,451,017,291.39/427,075.74
  6. Step 6: Final answer
    x = 214,133.02

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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.