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Finding the Fourth Proportional to 211,522.80, 317,207.40 and 106,306.80

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Solution

The fourth proportional to 211,522.80, 317,207.40 and 106,306.80 is: 159,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,522.80 : 317,207.40 = 106,306.80 : x
  2. Step 2: Convert to fraction form
    211,522.80/317,207.40 = 106,306.80/x
  3. Step 3: Cross multiply
    211,522.80x = 317,207.40 × 106,306.80
  4. Step 4: Simplify right side
    211,522.80x = 33,721,303,630.32
  5. Step 5: Solve for x
    x = 33,721,303,630.32/211,522.80
  6. Step 6: Final answer
    x = 159,421.60

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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.