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Finding the Fourth Proportional to 384,609.96, 576,131.58 and 313,785

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Solution

The fourth proportional to 384,609.96, 576,131.58 and 313,785 is: 470,038.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,609.96 : 576,131.58 = 313,785 : x
  2. Step 2: Convert to fraction form
    384,609.96/576,131.58 = 313,785/x
  3. Step 3: Cross multiply
    384,609.96x = 576,131.58 × 313,785
  4. Step 4: Simplify right side
    384,609.96x = 180,781,447,830.30
  5. Step 5: Solve for x
    x = 180,781,447,830.30/384,609.96
  6. Step 6: Final answer
    x = 470,038.39

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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.