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Finding the Fourth Proportional to 256,492.10, 353,775.50 and 180,028.26

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Solution

The fourth proportional to 256,492.10, 353,775.50 and 180,028.26 is: 248,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,492.10 : 353,775.50 = 180,028.26 : x
  2. Step 2: Convert to fraction form
    256,492.10/353,775.50 = 180,028.26/x
  3. Step 3: Cross multiply
    256,492.10x = 353,775.50 × 180,028.26
  4. Step 4: Simplify right side
    256,492.10x = 63,689,586,795.49
  5. Step 5: Solve for x
    x = 63,689,586,795.49/256,492.10
  6. Step 6: Final answer
    x = 248,310.14

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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.