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Finding the Fourth Proportional to 285,165.33, 393,486.96 and 157,840.62

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Solution

The fourth proportional to 285,165.33, 393,486.96 and 157,840.62 is: 217,797.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,165.33 : 393,486.96 = 157,840.62 : x
  2. Step 2: Convert to fraction form
    285,165.33/393,486.96 = 157,840.62/x
  3. Step 3: Cross multiply
    285,165.33x = 393,486.96 × 157,840.62
  4. Step 4: Simplify right side
    285,165.33x = 62,108,225,728.32
  5. Step 5: Solve for x
    x = 62,108,225,728.32/285,165.33
  6. Step 6: Final answer
    x = 217,797.25

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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.