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Finding the Fourth Proportional to 286,599.44, 429,938.04 and 99,586.64

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Solution

The fourth proportional to 286,599.44, 429,938.04 and 99,586.64 is: 149,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,599.44 : 429,938.04 = 99,586.64 : x
  2. Step 2: Convert to fraction form
    286,599.44/429,938.04 = 99,586.64/x
  3. Step 3: Cross multiply
    286,599.44x = 429,938.04 × 99,586.64
  4. Step 4: Simplify right side
    286,599.44x = 42,816,084,811.79
  5. Step 5: Solve for x
    x = 42,816,084,811.79/286,599.44
  6. Step 6: Final answer
    x = 149,393.47

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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.