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Finding the Fourth Proportional to 705,978.64, 974,392.23 and 419,443.57

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Solution

The fourth proportional to 705,978.64, 974,392.23 and 419,443.57 is: 578,916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,978.64 : 974,392.23 = 419,443.57 : x
  2. Step 2: Convert to fraction form
    705,978.64/974,392.23 = 419,443.57/x
  3. Step 3: Cross multiply
    705,978.64x = 974,392.23 × 419,443.57
  4. Step 4: Simplify right side
    705,978.64x = 408,702,555,531.46
  5. Step 5: Solve for x
    x = 408,702,555,531.46/705,978.64
  6. Step 6: Final answer
    x = 578,916.32

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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.