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Finding the Fourth Proportional to 439,897.84, 659,625.32 and 214,921.16

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Solution

The fourth proportional to 439,897.84, 659,625.32 and 214,921.16 is: 322,273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,897.84 : 659,625.32 = 214,921.16 : x
  2. Step 2: Convert to fraction form
    439,897.84/659,625.32 = 214,921.16/x
  3. Step 3: Cross multiply
    439,897.84x = 659,625.32 × 214,921.16
  4. Step 4: Simplify right side
    439,897.84x = 141,767,438,939.77
  5. Step 5: Solve for x
    x = 141,767,438,939.77/439,897.84
  6. Step 6: Final answer
    x = 322,273.55

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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.