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Finding the Fourth Proportional to 285,045.42, 427,736.59 and 105,256.76

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Solution

The fourth proportional to 285,045.42, 427,736.59 and 105,256.76 is: 157,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,045.42 : 427,736.59 = 105,256.76 : x
  2. Step 2: Convert to fraction form
    285,045.42/427,736.59 = 105,256.76/x
  3. Step 3: Cross multiply
    285,045.42x = 427,736.59 × 105,256.76
  4. Step 4: Simplify right side
    285,045.42x = 45,022,167,818.35
  5. Step 5: Solve for x
    x = 45,022,167,818.35/285,045.42
  6. Step 6: Final answer
    x = 157,947.35

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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.