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Finding the Fourth Proportional to 384,486.92, 575,926.14 and 309,199.40

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Solution

The fourth proportional to 384,486.92, 575,926.14 and 309,199.40 is: 463,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,486.92 : 575,926.14 = 309,199.40 : x
  2. Step 2: Convert to fraction form
    384,486.92/575,926.14 = 309,199.40/x
  3. Step 3: Cross multiply
    384,486.92x = 575,926.14 × 309,199.40
  4. Step 4: Simplify right side
    384,486.92x = 178,076,016,932.32
  5. Step 5: Solve for x
    x = 178,076,016,932.32/384,486.92
  6. Step 6: Final answer
    x = 463,152.34

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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.