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Finding the Fourth Proportional to 611,468.10, 917,202.15 and 384,129.45

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Solution

The fourth proportional to 611,468.10, 917,202.15 and 384,129.45 is: 576,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,468.10 : 917,202.15 = 384,129.45 : x
  2. Step 2: Convert to fraction form
    611,468.10/917,202.15 = 384,129.45/x
  3. Step 3: Cross multiply
    611,468.10x = 917,202.15 × 384,129.45
  4. Step 4: Simplify right side
    611,468.10x = 352,324,357,418.32
  5. Step 5: Solve for x
    x = 352,324,357,418.32/611,468.10
  6. Step 6: Final answer
    x = 576,194.18

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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.