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Finding the Fourth Proportional to 377,705.84, 521,322.72 and 216,558

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Solution

The fourth proportional to 377,705.84, 521,322.72 and 216,558 is: 298,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,705.84 : 521,322.72 = 216,558 : x
  2. Step 2: Convert to fraction form
    377,705.84/521,322.72 = 216,558/x
  3. Step 3: Cross multiply
    377,705.84x = 521,322.72 × 216,558
  4. Step 4: Simplify right side
    377,705.84x = 112,896,605,597.76
  5. Step 5: Solve for x
    x = 112,896,605,597.76/377,705.84
  6. Step 6: Final answer
    x = 298,900.87

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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.