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Finding the Fourth Proportional to 456,075.60, 684,113.40 and 267,118.80

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Solution

The fourth proportional to 456,075.60, 684,113.40 and 267,118.80 is: 400,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,075.60 : 684,113.40 = 267,118.80 : x
  2. Step 2: Convert to fraction form
    456,075.60/684,113.40 = 267,118.80/x
  3. Step 3: Cross multiply
    456,075.60x = 684,113.40 × 267,118.80
  4. Step 4: Simplify right side
    456,075.60x = 182,739,550,471.92
  5. Step 5: Solve for x
    x = 182,739,550,471.92/456,075.60
  6. Step 6: Final answer
    x = 400,678.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.