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Finding the Fourth Proportional to 561,801.82, 775,286.50 and 307,153

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Solution

The fourth proportional to 561,801.82, 775,286.50 and 307,153 is: 423,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,801.82 : 775,286.50 = 307,153 : x
  2. Step 2: Convert to fraction form
    561,801.82/775,286.50 = 307,153/x
  3. Step 3: Cross multiply
    561,801.82x = 775,286.50 × 307,153
  4. Step 4: Simplify right side
    561,801.82x = 238,131,574,334.50
  5. Step 5: Solve for x
    x = 238,131,574,334.50/561,801.82
  6. Step 6: Final answer
    x = 423,871.14

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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.