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Finding the Fourth Proportional to 298,678.40, 446,721.60 and 267,315.20

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Solution

The fourth proportional to 298,678.40, 446,721.60 and 267,315.20 is: 399,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,678.40 : 446,721.60 = 267,315.20 : x
  2. Step 2: Convert to fraction form
    298,678.40/446,721.60 = 267,315.20/x
  3. Step 3: Cross multiply
    298,678.40x = 446,721.60 × 267,315.20
  4. Step 4: Simplify right side
    298,678.40x = 119,415,473,848.32
  5. Step 5: Solve for x
    x = 119,415,473,848.32/298,678.40
  6. Step 6: Final answer
    x = 399,812.89

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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.