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Finding the Fourth Proportional to 384,495.92, 575,939.64 and 309,208.40

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Solution

The fourth proportional to 384,495.92, 575,939.64 and 309,208.40 is: 463,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,495.92 : 575,939.64 = 309,208.40 : x
  2. Step 2: Convert to fraction form
    384,495.92/575,939.64 = 309,208.40/x
  3. Step 3: Cross multiply
    384,495.92x = 575,939.64 × 309,208.40
  4. Step 4: Simplify right side
    384,495.92x = 178,085,374,580.98
  5. Step 5: Solve for x
    x = 178,085,374,580.98/384,495.92
  6. Step 6: Final answer
    x = 463,165.84

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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.