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Finding the Fourth Proportional to 443,463.36, 611,978.40 and 242,260.80

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Solution

The fourth proportional to 443,463.36, 611,978.40 and 242,260.80 is: 334,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,463.36 : 611,978.40 = 242,260.80 : x
  2. Step 2: Convert to fraction form
    443,463.36/611,978.40 = 242,260.80/x
  3. Step 3: Cross multiply
    443,463.36x = 611,978.40 × 242,260.80
  4. Step 4: Simplify right side
    443,463.36x = 148,258,376,766.72
  5. Step 5: Solve for x
    x = 148,258,376,766.72/443,463.36
  6. Step 6: Final answer
    x = 334,319.34

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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.