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Finding the Fourth Proportional to 454,075.80, 681,113.70 and 138,532.20

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Solution

The fourth proportional to 454,075.80, 681,113.70 and 138,532.20 is: 207,798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,075.80 : 681,113.70 = 138,532.20 : x
  2. Step 2: Convert to fraction form
    454,075.80/681,113.70 = 138,532.20/x
  3. Step 3: Cross multiply
    454,075.80x = 681,113.70 × 138,532.20
  4. Step 4: Simplify right side
    454,075.80x = 94,356,179,311.14
  5. Step 5: Solve for x
    x = 94,356,179,311.14/454,075.80
  6. Step 6: Final answer
    x = 207,798.30

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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.