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Finding the Fourth Proportional to 345,863.76, 477,210.72 and 209,894.68

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Solution

The fourth proportional to 345,863.76, 477,210.72 and 209,894.68 is: 289,605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,863.76 : 477,210.72 = 209,894.68 : x
  2. Step 2: Convert to fraction form
    345,863.76/477,210.72 = 209,894.68/x
  3. Step 3: Cross multiply
    345,863.76x = 477,210.72 × 209,894.68
  4. Step 4: Simplify right side
    345,863.76x = 100,163,991,366.97
  5. Step 5: Solve for x
    x = 100,163,991,366.97/345,863.76
  6. Step 6: Final answer
    x = 289,605.34

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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.