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Finding the Fourth Proportional to 291,074.64, 436,741.56 and 286,350.72

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Solution

The fourth proportional to 291,074.64, 436,741.56 and 286,350.72 is: 429,653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,074.64 : 436,741.56 = 286,350.72 : x
  2. Step 2: Convert to fraction form
    291,074.64/436,741.56 = 286,350.72/x
  3. Step 3: Cross multiply
    291,074.64x = 436,741.56 × 286,350.72
  4. Step 4: Simplify right side
    291,074.64x = 125,061,260,159.92
  5. Step 5: Solve for x
    x = 125,061,260,159.92/291,074.64
  6. Step 6: Final answer
    x = 429,653.58

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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.