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Finding the Fourth Proportional to 285,547.60, 427,399.80 and 263,429.20

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Solution

The fourth proportional to 285,547.60, 427,399.80 and 263,429.20 is: 394,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,547.60 : 427,399.80 = 263,429.20 : x
  2. Step 2: Convert to fraction form
    285,547.60/427,399.80 = 263,429.20/x
  3. Step 3: Cross multiply
    285,547.60x = 427,399.80 × 263,429.20
  4. Step 4: Simplify right side
    285,547.60x = 112,589,587,394.16
  5. Step 5: Solve for x
    x = 112,589,587,394.16/285,547.60
  6. Step 6: Final answer
    x = 394,293.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.