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Finding the Fourth Proportional to 285,953.67, 428,631.20 and 96,348.51

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Solution

The fourth proportional to 285,953.67, 428,631.20 and 96,348.51 is: 144,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,953.67 : 428,631.20 = 96,348.51 : x
  2. Step 2: Convert to fraction form
    285,953.67/428,631.20 = 96,348.51/x
  3. Step 3: Cross multiply
    285,953.67x = 428,631.20 × 96,348.51
  4. Step 4: Simplify right side
    285,953.67x = 41,297,977,459.51
  5. Step 5: Solve for x
    x = 41,297,977,459.51/285,953.67
  6. Step 6: Final answer
    x = 144,421.92

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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.