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Finding the Fourth Proportional to 644,117.76, 889,719.12 and 490,221

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Solution

The fourth proportional to 644,117.76, 889,719.12 and 490,221 is: 677,141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,117.76 : 889,719.12 = 490,221 : x
  2. Step 2: Convert to fraction form
    644,117.76/889,719.12 = 490,221/x
  3. Step 3: Cross multiply
    644,117.76x = 889,719.12 × 490,221
  4. Step 4: Simplify right side
    644,117.76x = 436,158,996,725.52
  5. Step 5: Solve for x
    x = 436,158,996,725.52/644,117.76
  6. Step 6: Final answer
    x = 677,141.70

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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.