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Finding the Fourth Proportional to 645,212.34, 967,714.83 and 201,980.34

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Solution

The fourth proportional to 645,212.34, 967,714.83 and 201,980.34 is: 302,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,212.34 : 967,714.83 = 201,980.34 : x
  2. Step 2: Convert to fraction form
    645,212.34/967,714.83 = 201,980.34/x
  3. Step 3: Cross multiply
    645,212.34x = 967,714.83 × 201,980.34
  4. Step 4: Simplify right side
    645,212.34x = 195,459,370,386.44
  5. Step 5: Solve for x
    x = 195,459,370,386.44/645,212.34
  6. Step 6: Final answer
    x = 302,938.05

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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.