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Finding the Fourth Proportional to 285,315, 393,746.56 and 157,990.59

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Solution

The fourth proportional to 285,315, 393,746.56 and 157,990.59 is: 218,033.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,315 : 393,746.56 = 157,990.59 : x
  2. Step 2: Convert to fraction form
    285,315/393,746.56 = 157,990.59/x
  3. Step 3: Cross multiply
    285,315x = 393,746.56 × 157,990.59
  4. Step 4: Simplify right side
    285,315x = 62,208,251,324.87
  5. Step 5: Solve for x
    x = 62,208,251,324.87/285,315
  6. Step 6: Final answer
    x = 218,033.58

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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.