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Finding the Fourth Proportional to 274,643.60, 411,965.40 and 97,156.40

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Solution

The fourth proportional to 274,643.60, 411,965.40 and 97,156.40 is: 145,734.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,643.60 : 411,965.40 = 97,156.40 : x
  2. Step 2: Convert to fraction form
    274,643.60/411,965.40 = 97,156.40/x
  3. Step 3: Cross multiply
    274,643.60x = 411,965.40 × 97,156.40
  4. Step 4: Simplify right side
    274,643.60x = 40,025,075,188.56
  5. Step 5: Solve for x
    x = 40,025,075,188.56/274,643.60
  6. Step 6: Final answer
    x = 145,734.60

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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.