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Finding the Fourth Proportional to 538,800,443.80, 808,200,665.70 and 409,660,280.80

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Solution

The fourth proportional to 538,800,443.80, 808,200,665.70 and 409,660,280.80 is: 614,490,421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,800,443.80 : 808,200,665.70 = 409,660,280.80 : x
  2. Step 2: Convert to fraction form
    538,800,443.80/808,200,665.70 = 409,660,280.80/x
  3. Step 3: Cross multiply
    538,800,443.80x = 808,200,665.70 × 409,660,280.80
  4. Step 4: Simplify right side
    538,800,443.80x = 331,087,711,653,408,960
  5. Step 5: Solve for x
    x = 331,087,711,653,408,960/538,800,443.80
  6. Step 6: Final answer
    x = 614,490,421.20

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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.