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Finding the Fourth Proportional to 408,031.80, 611,756.10 and 183,208.20

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Solution

The fourth proportional to 408,031.80, 611,756.10 and 183,208.20 is: 274,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,031.80 : 611,756.10 = 183,208.20 : x
  2. Step 2: Convert to fraction form
    408,031.80/611,756.10 = 183,208.20/x
  3. Step 3: Cross multiply
    408,031.80x = 611,756.10 × 183,208.20
  4. Step 4: Simplify right side
    408,031.80x = 112,078,733,920.02
  5. Step 5: Solve for x
    x = 112,078,733,920.02/408,031.80
  6. Step 6: Final answer
    x = 274,681.37

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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.