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Finding the Fourth Proportional to 491,875.16, 678,820.74 and 274,117.64

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Solution

The fourth proportional to 491,875.16, 678,820.74 and 274,117.64 is: 378,300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,875.16 : 678,820.74 = 274,117.64 : x
  2. Step 2: Convert to fraction form
    491,875.16/678,820.74 = 274,117.64/x
  3. Step 3: Cross multiply
    491,875.16x = 678,820.74 × 274,117.64
  4. Step 4: Simplify right side
    491,875.16x = 186,076,739,231.85
  5. Step 5: Solve for x
    x = 186,076,739,231.85/491,875.16
  6. Step 6: Final answer
    x = 378,300.74

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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.