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Finding the Fourth Proportional to 285,152.54, 393,504.63 and 157,820.54

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Solution

The fourth proportional to 285,152.54, 393,504.63 and 157,820.54 is: 217,789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,152.54 : 393,504.63 = 157,820.54 : x
  2. Step 2: Convert to fraction form
    285,152.54/393,504.63 = 157,820.54/x
  3. Step 3: Cross multiply
    285,152.54x = 393,504.63 × 157,820.54
  4. Step 4: Simplify right side
    285,152.54x = 62,103,113,199.10
  5. Step 5: Solve for x
    x = 62,103,113,199.10/285,152.54
  6. Step 6: Final answer
    x = 217,789.09

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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.