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Finding the Fourth Proportional to 287,604.20, 431,406.30 and 264,859.40

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Solution

The fourth proportional to 287,604.20, 431,406.30 and 264,859.40 is: 397,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,604.20 : 431,406.30 = 264,859.40 : x
  2. Step 2: Convert to fraction form
    287,604.20/431,406.30 = 264,859.40/x
  3. Step 3: Cross multiply
    287,604.20x = 431,406.30 × 264,859.40
  4. Step 4: Simplify right side
    287,604.20x = 114,262,013,774.22
  5. Step 5: Solve for x
    x = 114,262,013,774.22/287,604.20
  6. Step 6: Final answer
    x = 397,289.10

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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.