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Finding the Fourth Proportional to 642,306.48, 886,389.12 and 355,832.64

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Solution

The fourth proportional to 642,306.48, 886,389.12 and 355,832.64 is: 491,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,306.48 : 886,389.12 = 355,832.64 : x
  2. Step 2: Convert to fraction form
    642,306.48/886,389.12 = 355,832.64/x
  3. Step 3: Cross multiply
    642,306.48x = 886,389.12 × 355,832.64
  4. Step 4: Simplify right side
    642,306.48x = 315,406,180,636.88
  5. Step 5: Solve for x
    x = 315,406,180,636.88/642,306.48
  6. Step 6: Final answer
    x = 491,052.47

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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.