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Finding the Fourth Proportional to 209,704.80, 314,038.80 and 139,202.40

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Solution

The fourth proportional to 209,704.80, 314,038.80 and 139,202.40 is: 208,459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,704.80 : 314,038.80 = 139,202.40 : x
  2. Step 2: Convert to fraction form
    209,704.80/314,038.80 = 139,202.40/x
  3. Step 3: Cross multiply
    209,704.80x = 314,038.80 × 139,202.40
  4. Step 4: Simplify right side
    209,704.80x = 43,714,954,653.12
  5. Step 5: Solve for x
    x = 43,714,954,653.12/209,704.80
  6. Step 6: Final answer
    x = 208,459.49

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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.