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Finding the Fourth Proportional to 345,382.41, 476,496.72 and 209,366.76

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Solution

The fourth proportional to 345,382.41, 476,496.72 and 209,366.76 is: 288,846.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,382.41 : 476,496.72 = 209,366.76 : x
  2. Step 2: Convert to fraction form
    345,382.41/476,496.72 = 209,366.76/x
  3. Step 3: Cross multiply
    345,382.41x = 476,496.72 × 209,366.76
  4. Step 4: Simplify right side
    345,382.41x = 99,762,574,417.03
  5. Step 5: Solve for x
    x = 99,762,574,417.03/345,382.41
  6. Step 6: Final answer
    x = 288,846.71

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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.