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Finding the Fourth Proportional to 568,588.96, 784,654.40 and 310,466.40

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Solution

The fourth proportional to 568,588.96, 784,654.40 and 310,466.40 is: 428,444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,588.96 : 784,654.40 = 310,466.40 : x
  2. Step 2: Convert to fraction form
    568,588.96/784,654.40 = 310,466.40/x
  3. Step 3: Cross multiply
    568,588.96x = 784,654.40 × 310,466.40
  4. Step 4: Simplify right side
    568,588.96x = 243,608,826,812.16
  5. Step 5: Solve for x
    x = 243,608,826,812.16/568,588.96
  6. Step 6: Final answer
    x = 428,444.52

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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.