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Finding the Fourth Proportional to 554,478.50, 765,123 and 409,361.54

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Solution

The fourth proportional to 554,478.50, 765,123 and 409,361.54 is: 564,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,478.50 : 765,123 = 409,361.54 : x
  2. Step 2: Convert to fraction form
    554,478.50/765,123 = 409,361.54/x
  3. Step 3: Cross multiply
    554,478.50x = 765,123 × 409,361.54
  4. Step 4: Simplify right side
    554,478.50x = 313,211,925,743.81
  5. Step 5: Solve for x
    x = 313,211,925,743.81/554,478.50
  6. Step 6: Final answer
    x = 564,876.60

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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.