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Finding the Fourth Proportional to 474,671.06, 711,915.87 and 142,247.06

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Solution

The fourth proportional to 474,671.06, 711,915.87 and 142,247.06 is: 213,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,671.06 : 711,915.87 = 142,247.06 : x
  2. Step 2: Convert to fraction form
    474,671.06/711,915.87 = 142,247.06/x
  3. Step 3: Cross multiply
    474,671.06x = 711,915.87 × 142,247.06
  4. Step 4: Simplify right side
    474,671.06x = 101,267,939,474.84
  5. Step 5: Solve for x
    x = 101,267,939,474.84/474,671.06
  6. Step 6: Final answer
    x = 213,343.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.