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Finding the Fourth Proportional to 705,940.12, 974,119.80 and 399,993.40

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Solution

The fourth proportional to 705,940.12, 974,119.80 and 399,993.40 is: 551,946.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,940.12 : 974,119.80 = 399,993.40 : x
  2. Step 2: Convert to fraction form
    705,940.12/974,119.80 = 399,993.40/x
  3. Step 3: Cross multiply
    705,940.12x = 974,119.80 × 399,993.40
  4. Step 4: Simplify right side
    705,940.12x = 389,641,490,809.32
  5. Step 5: Solve for x
    x = 389,641,490,809.32/705,940.12
  6. Step 6: Final answer
    x = 551,946.94

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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.