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Finding the Fourth Proportional to 286,596.32, 429,898.59 and 109,113.08

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Solution

The fourth proportional to 286,596.32, 429,898.59 and 109,113.08 is: 163,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,596.32 : 429,898.59 = 109,113.08 : x
  2. Step 2: Convert to fraction form
    286,596.32/429,898.59 = 109,113.08/x
  3. Step 3: Cross multiply
    286,596.32x = 429,898.59 × 109,113.08
  4. Step 4: Simplify right side
    286,596.32x = 46,907,557,093.06
  5. Step 5: Solve for x
    x = 46,907,557,093.06/286,596.32
  6. Step 6: Final answer
    x = 163,671.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.