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Finding the Fourth Proportional to 285,456.80, 428,051.10 and 165,547.83

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Solution

The fourth proportional to 285,456.80, 428,051.10 and 165,547.83 is: 248,243.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,456.80 : 428,051.10 = 165,547.83 : x
  2. Step 2: Convert to fraction form
    285,456.80/428,051.10 = 165,547.83/x
  3. Step 3: Cross multiply
    285,456.80x = 428,051.10 × 165,547.83
  4. Step 4: Simplify right side
    285,456.80x = 70,862,930,734.11
  5. Step 5: Solve for x
    x = 70,862,930,734.11/285,456.80
  6. Step 6: Final answer
    x = 248,243.98

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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.