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Finding the Fourth Proportional to 314,382.45, 433,847.85 and 171,142.45

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Solution

The fourth proportional to 314,382.45, 433,847.85 and 171,142.45 is: 236,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,382.45 : 433,847.85 = 171,142.45 : x
  2. Step 2: Convert to fraction form
    314,382.45/433,847.85 = 171,142.45/x
  3. Step 3: Cross multiply
    314,382.45x = 433,847.85 × 171,142.45
  4. Step 4: Simplify right side
    314,382.45x = 74,249,784,690.22
  5. Step 5: Solve for x
    x = 74,249,784,690.22/314,382.45
  6. Step 6: Final answer
    x = 236,176.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.