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Finding the Fourth Proportional to 510,271.56, 765,390.33 and 274,075.56

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Solution

The fourth proportional to 510,271.56, 765,390.33 and 274,075.56 is: 411,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,271.56 : 765,390.33 = 274,075.56 : x
  2. Step 2: Convert to fraction form
    510,271.56/765,390.33 = 274,075.56/x
  3. Step 3: Cross multiply
    510,271.56x = 765,390.33 × 274,075.56
  4. Step 4: Simplify right side
    510,271.56x = 209,774,783,313.34
  5. Step 5: Solve for x
    x = 209,774,783,313.34/510,271.56
  6. Step 6: Final answer
    x = 411,104.20

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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.