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Finding the Fourth Proportional to 500,075.76, 689,968.08 and 285,137.44

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Solution

The fourth proportional to 500,075.76, 689,968.08 and 285,137.44 is: 393,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,075.76 : 689,968.08 = 285,137.44 : x
  2. Step 2: Convert to fraction form
    500,075.76/689,968.08 = 285,137.44/x
  3. Step 3: Cross multiply
    500,075.76x = 689,968.08 × 285,137.44
  4. Step 4: Simplify right side
    500,075.76x = 196,735,732,012.92
  5. Step 5: Solve for x
    x = 196,735,732,012.92/500,075.76
  6. Step 6: Final answer
    x = 393,411.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.