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Finding the Fourth Proportional to 259,504.60, 358,118.94 and 152,138.20

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Solution

The fourth proportional to 259,504.60, 358,118.94 and 152,138.20 is: 209,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,504.60 : 358,118.94 = 152,138.20 : x
  2. Step 2: Convert to fraction form
    259,504.60/358,118.94 = 152,138.20/x
  3. Step 3: Cross multiply
    259,504.60x = 358,118.94 × 152,138.20
  4. Step 4: Simplify right side
    259,504.60x = 54,483,570,917.51
  5. Step 5: Solve for x
    x = 54,483,570,917.51/259,504.60
  6. Step 6: Final answer
    x = 209,952.24

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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.