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Finding the Fourth Proportional to 283,075.84, 424,263.84 and 142,874.56

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Solution

The fourth proportional to 283,075.84, 424,263.84 and 142,874.56 is: 214,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,075.84 : 424,263.84 = 142,874.56 : x
  2. Step 2: Convert to fraction form
    283,075.84/424,263.84 = 142,874.56/x
  3. Step 3: Cross multiply
    283,075.84x = 424,263.84 × 142,874.56
  4. Step 4: Simplify right side
    283,075.84x = 60,616,509,463.91
  5. Step 5: Solve for x
    x = 60,616,509,463.91/283,075.84
  6. Step 6: Final answer
    x = 214,135.23

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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.