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Finding the Fourth Proportional to 254,880.43, 382,295.91 and 77,388.98

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Solution

The fourth proportional to 254,880.43, 382,295.91 and 77,388.98 is: 116,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,880.43 : 382,295.91 = 77,388.98 : x
  2. Step 2: Convert to fraction form
    254,880.43/382,295.91 = 77,388.98/x
  3. Step 3: Cross multiply
    254,880.43x = 382,295.91 × 77,388.98
  4. Step 4: Simplify right side
    254,880.43x = 29,585,490,533.07
  5. Step 5: Solve for x
    x = 29,585,490,533.07/254,880.43
  6. Step 6: Final answer
    x = 116,075.96

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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.