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Finding the Fourth Proportional to 644,320.90, 889,164.90 and 357,840.97

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Solution

The fourth proportional to 644,320.90, 889,164.90 and 357,840.97 is: 493,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,320.90 : 889,164.90 = 357,840.97 : x
  2. Step 2: Convert to fraction form
    644,320.90/889,164.90 = 357,840.97/x
  3. Step 3: Cross multiply
    644,320.90x = 889,164.90 × 357,840.97
  4. Step 4: Simplify right side
    644,320.90x = 318,179,630,305.95
  5. Step 5: Solve for x
    x = 318,179,630,305.95/644,320.90
  6. Step 6: Final answer
    x = 493,821.68

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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.