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Finding the Fourth Proportional to 345,859.50, 477,508.20 and 216,974.64

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Solution

The fourth proportional to 345,859.50, 477,508.20 and 216,974.64 is: 299,564.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,859.50 : 477,508.20 = 216,974.64 : x
  2. Step 2: Convert to fraction form
    345,859.50/477,508.20 = 216,974.64/x
  3. Step 3: Cross multiply
    345,859.50x = 477,508.20 × 216,974.64
  4. Step 4: Simplify right side
    345,859.50x = 103,607,169,792.05
  5. Step 5: Solve for x
    x = 103,607,169,792.05/345,859.50
  6. Step 6: Final answer
    x = 299,564.33

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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.