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Finding the Fourth Proportional to 409,094.64, 612,378.18 and 266,633.46

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Solution

The fourth proportional to 409,094.64, 612,378.18 and 266,633.46 is: 399,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,094.64 : 612,378.18 = 266,633.46 : x
  2. Step 2: Convert to fraction form
    409,094.64/612,378.18 = 266,633.46/x
  3. Step 3: Cross multiply
    409,094.64x = 612,378.18 × 266,633.46
  4. Step 4: Simplify right side
    409,094.64x = 163,280,512,961.90
  5. Step 5: Solve for x
    x = 163,280,512,961.90/409,094.64
  6. Step 6: Final answer
    x = 399,126.50

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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.