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Finding the Fourth Proportional to 849,294, 1,274,137.84 and 288,328.50

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Solution

The fourth proportional to 849,294, 1,274,137.84 and 288,328.50 is: 432,559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,294 : 1,274,137.84 = 288,328.50 : x
  2. Step 2: Convert to fraction form
    849,294/1,274,137.84 = 288,328.50/x
  3. Step 3: Cross multiply
    849,294x = 1,274,137.84 × 288,328.50
  4. Step 4: Simplify right side
    849,294x = 367,370,252,200.44
  5. Step 5: Solve for x
    x = 367,370,252,200.44/849,294
  6. Step 6: Final answer
    x = 432,559.58

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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.