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Finding the Fourth Proportional to 634,322.20, 875,405.10 and 419,084.68

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Solution

The fourth proportional to 634,322.20, 875,405.10 and 419,084.68 is: 578,363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,322.20 : 875,405.10 = 419,084.68 : x
  2. Step 2: Convert to fraction form
    634,322.20/875,405.10 = 419,084.68/x
  3. Step 3: Cross multiply
    634,322.20x = 875,405.10 × 419,084.68
  4. Step 4: Simplify right side
    634,322.20x = 366,868,866,203.87
  5. Step 5: Solve for x
    x = 366,868,866,203.87/634,322.20
  6. Step 6: Final answer
    x = 578,363.59

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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.