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Finding the Fourth Proportional to 285,036.48, 393,361.92 and 157,710

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Solution

The fourth proportional to 285,036.48, 393,361.92 and 157,710 is: 217,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,036.48 : 393,361.92 = 157,710 : x
  2. Step 2: Convert to fraction form
    285,036.48/393,361.92 = 157,710/x
  3. Step 3: Cross multiply
    285,036.48x = 393,361.92 × 157,710
  4. Step 4: Simplify right side
    285,036.48x = 62,037,108,403.20
  5. Step 5: Solve for x
    x = 62,037,108,403.20/285,036.48
  6. Step 6: Final answer
    x = 217,646.21

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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.