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Finding the Fourth Proportional to 537,714.90, 805,600.35 and 312,891.30

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Solution

The fourth proportional to 537,714.90, 805,600.35 and 312,891.30 is: 468,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,714.90 : 805,600.35 = 312,891.30 : x
  2. Step 2: Convert to fraction form
    537,714.90/805,600.35 = 312,891.30/x
  3. Step 3: Cross multiply
    537,714.90x = 805,600.35 × 312,891.30
  4. Step 4: Simplify right side
    537,714.90x = 252,065,340,791.96
  5. Step 5: Solve for x
    x = 252,065,340,791.96/537,714.90
  6. Step 6: Final answer
    x = 468,771.35

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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.