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Finding the Fourth Proportional to 285,082.83, 427,282.97 and 133,075.40

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Solution

The fourth proportional to 285,082.83, 427,282.97 and 133,075.40 is: 199,453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,082.83 : 427,282.97 = 133,075.40 : x
  2. Step 2: Convert to fraction form
    285,082.83/427,282.97 = 133,075.40/x
  3. Step 3: Cross multiply
    285,082.83x = 427,282.97 × 133,075.40
  4. Step 4: Simplify right side
    285,082.83x = 56,860,849,843.18
  5. Step 5: Solve for x
    x = 56,860,849,843.18/285,082.83
  6. Step 6: Final answer
    x = 199,453.79

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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.