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Finding the Fourth Proportional to 286,642.32, 394,662.84 and 260,070.24

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Solution

The fourth proportional to 286,642.32, 394,662.84 and 260,070.24 is: 358,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,642.32 : 394,662.84 = 260,070.24 : x
  2. Step 2: Convert to fraction form
    286,642.32/394,662.84 = 260,070.24/x
  3. Step 3: Cross multiply
    286,642.32x = 394,662.84 × 260,070.24
  4. Step 4: Simplify right side
    286,642.32x = 102,640,059,517.88
  5. Step 5: Solve for x
    x = 102,640,059,517.88/286,642.32
  6. Step 6: Final answer
    x = 358,077.13

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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.