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Finding the Fourth Proportional to 209,873.70, 314,810.55 and 201,708.90

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Solution

The fourth proportional to 209,873.70, 314,810.55 and 201,708.90 is: 302,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,873.70 : 314,810.55 = 201,708.90 : x
  2. Step 2: Convert to fraction form
    209,873.70/314,810.55 = 201,708.90/x
  3. Step 3: Cross multiply
    209,873.70x = 314,810.55 × 201,708.90
  4. Step 4: Simplify right side
    209,873.70x = 63,500,089,748.90
  5. Step 5: Solve for x
    x = 63,500,089,748.90/209,873.70
  6. Step 6: Final answer
    x = 302,563.35

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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.