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Finding the Fourth Proportional to 644,733.76, 889,362.02 and 402,596

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Solution

The fourth proportional to 644,733.76, 889,362.02 and 402,596 is: 555,351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,733.76 : 889,362.02 = 402,596 : x
  2. Step 2: Convert to fraction form
    644,733.76/889,362.02 = 402,596/x
  3. Step 3: Cross multiply
    644,733.76x = 889,362.02 × 402,596
  4. Step 4: Simplify right side
    644,733.76x = 358,053,591,803.92
  5. Step 5: Solve for x
    x = 358,053,591,803.92/644,733.76
  6. Step 6: Final answer
    x = 555,351.08

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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.