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Finding the Fourth Proportional to 274,139.16, 410,071.50 and 257,343

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Solution

The fourth proportional to 274,139.16, 410,071.50 and 257,343 is: 384,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,139.16 : 410,071.50 = 257,343 : x
  2. Step 2: Convert to fraction form
    274,139.16/410,071.50 = 257,343/x
  3. Step 3: Cross multiply
    274,139.16x = 410,071.50 × 257,343
  4. Step 4: Simplify right side
    274,139.16x = 105,529,030,024.50
  5. Step 5: Solve for x
    x = 105,529,030,024.50/274,139.16
  6. Step 6: Final answer
    x = 384,946.94

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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.