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Finding the Fourth Proportional to 384,460.40, 575,999.40 and 329,164.40

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Solution

The fourth proportional to 384,460.40, 575,999.40 and 329,164.40 is: 493,154.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,460.40 : 575,999.40 = 329,164.40 : x
  2. Step 2: Convert to fraction form
    384,460.40/575,999.40 = 329,164.40/x
  3. Step 3: Cross multiply
    384,460.40x = 575,999.40 × 329,164.40
  4. Step 4: Simplify right side
    384,460.40x = 189,598,496,901.36
  5. Step 5: Solve for x
    x = 189,598,496,901.36/384,460.40
  6. Step 6: Final answer
    x = 493,154.81

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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.