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Finding the Fourth Proportional to 561,223.12, 774,459.72 and 306,527.44

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Solution

The fourth proportional to 561,223.12, 774,459.72 and 306,527.44 is: 422,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,223.12 : 774,459.72 = 306,527.44 : x
  2. Step 2: Convert to fraction form
    561,223.12/774,459.72 = 306,527.44/x
  3. Step 3: Cross multiply
    561,223.12x = 774,459.72 × 306,527.44
  4. Step 4: Simplify right side
    561,223.12x = 237,393,155,354.72
  5. Step 5: Solve for x
    x = 237,393,155,354.72/561,223.12
  6. Step 6: Final answer
    x = 422,992.47

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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.