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Finding the Fourth Proportional to 286,297.40, 429,445.81 and 73,065.32

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Solution

The fourth proportional to 286,297.40, 429,445.81 and 73,065.32 is: 109,597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,297.40 : 429,445.81 = 73,065.32 : x
  2. Step 2: Convert to fraction form
    286,297.40/429,445.81 = 73,065.32/x
  3. Step 3: Cross multiply
    286,297.40x = 429,445.81 × 73,065.32
  4. Step 4: Simplify right side
    286,297.40x = 31,377,593,979.77
  5. Step 5: Solve for x
    x = 31,377,593,979.77/286,297.40
  6. Step 6: Final answer
    x = 109,597.90

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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.