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Finding the Fourth Proportional to 286,473.34, 427,607.20 and 265,361.50

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Solution

The fourth proportional to 286,473.34, 427,607.20 and 265,361.50 is: 396,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,473.34 : 427,607.20 = 265,361.50 : x
  2. Step 2: Convert to fraction form
    286,473.34/427,607.20 = 265,361.50/x
  3. Step 3: Cross multiply
    286,473.34x = 427,607.20 × 265,361.50
  4. Step 4: Simplify right side
    286,473.34x = 113,470,488,002.80
  5. Step 5: Solve for x
    x = 113,470,488,002.80/286,473.34
  6. Step 6: Final answer
    x = 396,094.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.