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Finding the Fourth Proportional to 209,994.36, 314,935.38 and 143,423.16

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Solution

The fourth proportional to 209,994.36, 314,935.38 and 143,423.16 is: 215,096.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,994.36 : 314,935.38 = 143,423.16 : x
  2. Step 2: Convert to fraction form
    209,994.36/314,935.38 = 143,423.16/x
  3. Step 3: Cross multiply
    209,994.36x = 314,935.38 × 143,423.16
  4. Step 4: Simplify right side
    209,994.36x = 45,169,027,395.40
  5. Step 5: Solve for x
    x = 45,169,027,395.40/209,994.36
  6. Step 6: Final answer
    x = 215,096.38

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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.