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Finding the Fourth Proportional to 288,038.70, 397,453.68 and 160,689.60

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Solution

The fourth proportional to 288,038.70, 397,453.68 and 160,689.60 is: 221,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,038.70 : 397,453.68 = 160,689.60 : x
  2. Step 2: Convert to fraction form
    288,038.70/397,453.68 = 160,689.60/x
  3. Step 3: Cross multiply
    288,038.70x = 397,453.68 × 160,689.60
  4. Step 4: Simplify right side
    288,038.70x = 63,866,672,857.73
  5. Step 5: Solve for x
    x = 63,866,672,857.73/288,038.70
  6. Step 6: Final answer
    x = 221,729.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.