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Finding the Fourth Proportional to 385,358.51, 531,783.74 and 213,283.53

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Solution

The fourth proportional to 385,358.51, 531,783.74 and 213,283.53 is: 294,325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,358.51 : 531,783.74 = 213,283.53 : x
  2. Step 2: Convert to fraction form
    385,358.51/531,783.74 = 213,283.53/x
  3. Step 3: Cross multiply
    385,358.51x = 531,783.74 × 213,283.53
  4. Step 4: Simplify right side
    385,358.51x = 113,420,714,096.94
  5. Step 5: Solve for x
    x = 113,420,714,096.94/385,358.51
  6. Step 6: Final answer
    x = 294,325.18

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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.