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Finding the Fourth Proportional to 310,075.47, 427,970.79 and 189,190.80

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Solution

The fourth proportional to 310,075.47, 427,970.79 and 189,190.80 is: 261,123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,075.47 : 427,970.79 = 189,190.80 : x
  2. Step 2: Convert to fraction form
    310,075.47/427,970.79 = 189,190.80/x
  3. Step 3: Cross multiply
    310,075.47x = 427,970.79 × 189,190.80
  4. Step 4: Simplify right side
    310,075.47x = 80,968,136,136.73
  5. Step 5: Solve for x
    x = 80,968,136,136.73/310,075.47
  6. Step 6: Final answer
    x = 261,123.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.