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Finding the Fourth Proportional to 438,421.80, 657,632.70 and 296,704.20

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Solution

The fourth proportional to 438,421.80, 657,632.70 and 296,704.20 is: 445,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,421.80 : 657,632.70 = 296,704.20 : x
  2. Step 2: Convert to fraction form
    438,421.80/657,632.70 = 296,704.20/x
  3. Step 3: Cross multiply
    438,421.80x = 657,632.70 × 296,704.20
  4. Step 4: Simplify right side
    438,421.80x = 195,122,384,147.34
  5. Step 5: Solve for x
    x = 195,122,384,147.34/438,421.80
  6. Step 6: Final answer
    x = 445,056.30

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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.