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Finding the Fourth Proportional to 384,608.96, 576,130.08 and 313,784

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Solution

The fourth proportional to 384,608.96, 576,130.08 and 313,784 is: 470,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,608.96 : 576,130.08 = 313,784 : x
  2. Step 2: Convert to fraction form
    384,608.96/576,130.08 = 313,784/x
  3. Step 3: Cross multiply
    384,608.96x = 576,130.08 × 313,784
  4. Step 4: Simplify right side
    384,608.96x = 180,780,401,022.72
  5. Step 5: Solve for x
    x = 180,780,401,022.72/384,608.96
  6. Step 6: Final answer
    x = 470,036.89

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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.