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Finding the Fourth Proportional to 258,420.86, 356,621.10 and 143,698.24

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Solution

The fourth proportional to 258,420.86, 356,621.10 and 143,698.24 is: 198,303.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,420.86 : 356,621.10 = 143,698.24 : x
  2. Step 2: Convert to fraction form
    258,420.86/356,621.10 = 143,698.24/x
  3. Step 3: Cross multiply
    258,420.86x = 356,621.10 × 143,698.24
  4. Step 4: Simplify right side
    258,420.86x = 51,245,825,034.73
  5. Step 5: Solve for x
    x = 51,245,825,034.73/258,420.86
  6. Step 6: Final answer
    x = 198,303.75

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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.