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Finding the Fourth Proportional to 285,456.55, 428,050.73 and 165,547.58

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Solution

The fourth proportional to 285,456.55, 428,050.73 and 165,547.58 is: 248,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,456.55 : 428,050.73 = 165,547.58 : x
  2. Step 2: Convert to fraction form
    285,456.55/428,050.73 = 165,547.58/x
  3. Step 3: Cross multiply
    285,456.55x = 428,050.73 × 165,547.58
  4. Step 4: Simplify right side
    285,456.55x = 70,862,760,570.87
  5. Step 5: Solve for x
    x = 70,862,760,570.87/285,456.55
  6. Step 6: Final answer
    x = 248,243.60

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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.