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Finding the Fourth Proportional to 566,102.40, 781,222.72 and 311,469.44

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Solution

The fourth proportional to 566,102.40, 781,222.72 and 311,469.44 is: 429,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,102.40 : 781,222.72 = 311,469.44 : x
  2. Step 2: Convert to fraction form
    566,102.40/781,222.72 = 311,469.44/x
  3. Step 3: Cross multiply
    566,102.40x = 781,222.72 × 311,469.44
  4. Step 4: Simplify right side
    566,102.40x = 243,327,003,113.68
  5. Step 5: Solve for x
    x = 243,327,003,113.68/566,102.40
  6. Step 6: Final answer
    x = 429,828.60

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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.