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Finding the Fourth Proportional to 644,368.32, 889,203.69 and 357,906.78

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Solution

The fourth proportional to 644,368.32, 889,203.69 and 357,906.78 is: 493,897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,368.32 : 889,203.69 = 357,906.78 : x
  2. Step 2: Convert to fraction form
    644,368.32/889,203.69 = 357,906.78/x
  3. Step 3: Cross multiply
    644,368.32x = 889,203.69 × 357,906.78
  4. Step 4: Simplify right side
    644,368.32x = 318,252,029,452.02
  5. Step 5: Solve for x
    x = 318,252,029,452.02/644,368.32
  6. Step 6: Final answer
    x = 493,897.70

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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.