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Finding the Fourth Proportional to 443,534.80, 665,302.20 and 409,320.40

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Solution

The fourth proportional to 443,534.80, 665,302.20 and 409,320.40 is: 613,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,534.80 : 665,302.20 = 409,320.40 : x
  2. Step 2: Convert to fraction form
    443,534.80/665,302.20 = 409,320.40/x
  3. Step 3: Cross multiply
    443,534.80x = 665,302.20 × 409,320.40
  4. Step 4: Simplify right side
    443,534.80x = 272,321,762,624.88
  5. Step 5: Solve for x
    x = 272,321,762,624.88/443,534.80
  6. Step 6: Final answer
    x = 613,980.60

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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.