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Finding the Fourth Proportional to 665,225.39, 998,548.52 and 286,333.79

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Solution

The fourth proportional to 665,225.39, 998,548.52 and 286,333.79 is: 429,806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,225.39 : 998,548.52 = 286,333.79 : x
  2. Step 2: Convert to fraction form
    665,225.39/998,548.52 = 286,333.79/x
  3. Step 3: Cross multiply
    665,225.39x = 998,548.52 × 286,333.79
  4. Step 4: Simplify right side
    665,225.39x = 285,918,175,806.08
  5. Step 5: Solve for x
    x = 285,918,175,806.08/665,225.39
  6. Step 6: Final answer
    x = 429,806.47

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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.