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Finding the Fourth Proportional to 285,055.76, 393,371.40 and 157,731.44

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Solution

The fourth proportional to 285,055.76, 393,371.40 and 157,731.44 is: 217,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,055.76 : 393,371.40 = 157,731.44 : x
  2. Step 2: Convert to fraction form
    285,055.76/393,371.40 = 157,731.44/x
  3. Step 3: Cross multiply
    285,055.76x = 393,371.40 × 157,731.44
  4. Step 4: Simplify right side
    285,055.76x = 62,047,037,376.82
  5. Step 5: Solve for x
    x = 62,047,037,376.82/285,055.76
  6. Step 6: Final answer
    x = 217,666.32

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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.