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Finding the Fourth Proportional to 560,988.40, 774,193 and 343,128.78

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Solution

The fourth proportional to 560,988.40, 774,193 and 343,128.78 is: 473,535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,988.40 : 774,193 = 343,128.78 : x
  2. Step 2: Convert to fraction form
    560,988.40/774,193 = 343,128.78/x
  3. Step 3: Cross multiply
    560,988.40x = 774,193 × 343,128.78
  4. Step 4: Simplify right side
    560,988.40x = 265,647,899,574.54
  5. Step 5: Solve for x
    x = 265,647,899,574.54/560,988.40
  6. Step 6: Final answer
    x = 473,535.46

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1.5x scale

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.