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Finding the Fourth Proportional to 461,274.32, 691,940.64 and 194,985.20

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Solution

The fourth proportional to 461,274.32, 691,940.64 and 194,985.20 is: 292,490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,274.32 : 691,940.64 = 194,985.20 : x
  2. Step 2: Convert to fraction form
    461,274.32/691,940.64 = 194,985.20/x
  3. Step 3: Cross multiply
    461,274.32x = 691,940.64 × 194,985.20
  4. Step 4: Simplify right side
    461,274.32x = 134,918,184,078.53
  5. Step 5: Solve for x
    x = 134,918,184,078.53/461,274.32
  6. Step 6: Final answer
    x = 292,490.13

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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.