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Finding the Fourth Proportional to 512,209.40, 768,897.30 and 301,965.80

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Solution

The fourth proportional to 512,209.40, 768,897.30 and 301,965.80 is: 453,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,209.40 : 768,897.30 = 301,965.80 : x
  2. Step 2: Convert to fraction form
    512,209.40/768,897.30 = 301,965.80/x
  3. Step 3: Cross multiply
    512,209.40x = 768,897.30 × 301,965.80
  4. Step 4: Simplify right side
    512,209.40x = 232,180,688,312.34
  5. Step 5: Solve for x
    x = 232,180,688,312.34/512,209.40
  6. Step 6: Final answer
    x = 453,292.52

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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.