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Finding the Fourth Proportional to 205,075.20, 307,612.80 and 144,940.80

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Solution

The fourth proportional to 205,075.20, 307,612.80 and 144,940.80 is: 217,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,075.20 : 307,612.80 = 144,940.80 : x
  2. Step 2: Convert to fraction form
    205,075.20/307,612.80 = 144,940.80/x
  3. Step 3: Cross multiply
    205,075.20x = 307,612.80 × 144,940.80
  4. Step 4: Simplify right side
    205,075.20x = 44,585,645,322.24
  5. Step 5: Solve for x
    x = 44,585,645,322.24/205,075.20
  6. Step 6: Final answer
    x = 217,411.20

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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.