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Finding the Fourth Proportional to 424,538.42, 585,878.32 and 243,285.38

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Solution

The fourth proportional to 424,538.42, 585,878.32 and 243,285.38 is: 335,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,538.42 : 585,878.32 = 243,285.38 : x
  2. Step 2: Convert to fraction form
    424,538.42/585,878.32 = 243,285.38/x
  3. Step 3: Cross multiply
    424,538.42x = 585,878.32 × 243,285.38
  4. Step 4: Simplify right side
    424,538.42x = 142,535,628,374.40
  5. Step 5: Solve for x
    x = 142,535,628,374.40/424,538.42
  6. Step 6: Final answer
    x = 335,742.59

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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.