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Finding the Fourth Proportional to 288,416.18, 398,012 and 159,354.26

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Solution

The fourth proportional to 288,416.18, 398,012 and 159,354.26 is: 219,907.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,416.18 : 398,012 = 159,354.26 : x
  2. Step 2: Convert to fraction form
    288,416.18/398,012 = 159,354.26/x
  3. Step 3: Cross multiply
    288,416.18x = 398,012 × 159,354.26
  4. Step 4: Simplify right side
    288,416.18x = 63,424,907,731.12
  5. Step 5: Solve for x
    x = 63,424,907,731.12/288,416.18
  6. Step 6: Final answer
    x = 219,907.59

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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.