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Finding the Fourth Proportional to 586,826.31, 809,840.20 and 328,714.27

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Solution

The fourth proportional to 586,826.31, 809,840.20 and 328,714.27 is: 453,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,826.31 : 809,840.20 = 328,714.27 : x
  2. Step 2: Convert to fraction form
    586,826.31/809,840.20 = 328,714.27/x
  3. Step 3: Cross multiply
    586,826.31x = 809,840.20 × 328,714.27
  4. Step 4: Simplify right side
    586,826.31x = 266,206,030,159.65
  5. Step 5: Solve for x
    x = 266,206,030,159.65/586,826.31
  6. Step 6: Final answer
    x = 453,636.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.