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Finding the Fourth Proportional to 274,152.16, 410,090.98 and 257,356

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Solution

The fourth proportional to 274,152.16, 410,090.98 and 257,356 is: 384,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,152.16 : 410,090.98 = 257,356 : x
  2. Step 2: Convert to fraction form
    274,152.16/410,090.98 = 257,356/x
  3. Step 3: Cross multiply
    274,152.16x = 410,090.98 × 257,356
  4. Step 4: Simplify right side
    274,152.16x = 105,539,374,248.88
  5. Step 5: Solve for x
    x = 105,539,374,248.88/274,152.16
  6. Step 6: Final answer
    x = 384,966.42

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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.