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Finding the Fourth Proportional to 288,283.98, 432,427.53 and 189,072.45

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Solution

The fourth proportional to 288,283.98, 432,427.53 and 189,072.45 is: 283,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,283.98 : 432,427.53 = 189,072.45 : x
  2. Step 2: Convert to fraction form
    288,283.98/432,427.53 = 189,072.45/x
  3. Step 3: Cross multiply
    288,283.98x = 432,427.53 × 189,072.45
  4. Step 4: Simplify right side
    288,283.98x = 81,760,132,544.55
  5. Step 5: Solve for x
    x = 81,760,132,544.55/288,283.98
  6. Step 6: Final answer
    x = 283,609.70

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1.5x scale

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.