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Finding the Fourth Proportional to 288,284.98, 432,429.03 and 189,073.45

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Solution

The fourth proportional to 288,284.98, 432,429.03 and 189,073.45 is: 283,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,284.98 : 432,429.03 = 189,073.45 : x
  2. Step 2: Convert to fraction form
    288,284.98/432,429.03 = 189,073.45/x
  3. Step 3: Cross multiply
    288,284.98x = 432,429.03 × 189,073.45
  4. Step 4: Simplify right side
    288,284.98x = 81,760,848,582.25
  5. Step 5: Solve for x
    x = 81,760,848,582.25/288,284.98
  6. Step 6: Final answer
    x = 283,611.20

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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.