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Finding the Fourth Proportional to 314,066.64, 471,143.40 and 100,784.40

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Solution

The fourth proportional to 314,066.64, 471,143.40 and 100,784.40 is: 151,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,066.64 : 471,143.40 = 100,784.40 : x
  2. Step 2: Convert to fraction form
    314,066.64/471,143.40 = 100,784.40/x
  3. Step 3: Cross multiply
    314,066.64x = 471,143.40 × 100,784.40
  4. Step 4: Simplify right side
    314,066.64x = 47,483,904,882.96
  5. Step 5: Solve for x
    x = 47,483,904,882.96/314,066.64
  6. Step 6: Final answer
    x = 151,190.54

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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.