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Finding the Fourth Proportional to 462,692.30, 638,511 and 258,740.88

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Solution

The fourth proportional to 462,692.30, 638,511 and 258,740.88 is: 357,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,692.30 : 638,511 = 258,740.88 : x
  2. Step 2: Convert to fraction form
    462,692.30/638,511 = 258,740.88/x
  3. Step 3: Cross multiply
    462,692.30x = 638,511 × 258,740.88
  4. Step 4: Simplify right side
    462,692.30x = 165,208,898,029.68
  5. Step 5: Solve for x
    x = 165,208,898,029.68/462,692.30
  6. Step 6: Final answer
    x = 357,059.97

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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.