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Finding the Fourth Proportional to 384,521, 575,977.18 and 309,233.48

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Solution

The fourth proportional to 384,521, 575,977.18 and 309,233.48 is: 463,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,521 : 575,977.18 = 309,233.48 : x
  2. Step 2: Convert to fraction form
    384,521/575,977.18 = 309,233.48/x
  3. Step 3: Cross multiply
    384,521x = 575,977.18 × 309,233.48
  4. Step 4: Simplify right side
    384,521x = 178,111,427,771.99
  5. Step 5: Solve for x
    x = 178,111,427,771.99/384,521
  6. Step 6: Final answer
    x = 463,203.38

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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.