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Finding the Fourth Proportional to 384,494.92, 575,938.14 and 309,207.40

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Solution

The fourth proportional to 384,494.92, 575,938.14 and 309,207.40 is: 463,164.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,494.92 : 575,938.14 = 309,207.40 : x
  2. Step 2: Convert to fraction form
    384,494.92/575,938.14 = 309,207.40/x
  3. Step 3: Cross multiply
    384,494.92x = 575,938.14 × 309,207.40
  4. Step 4: Simplify right side
    384,494.92x = 178,084,334,830.24
  5. Step 5: Solve for x
    x = 178,084,334,830.24/384,494.92
  6. Step 6: Final answer
    x = 463,164.34

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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.