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Finding the Fourth Proportional to 447,763.80, 671,645.70 and 421,498.20

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Solution

The fourth proportional to 447,763.80, 671,645.70 and 421,498.20 is: 632,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,763.80 : 671,645.70 = 421,498.20 : x
  2. Step 2: Convert to fraction form
    447,763.80/671,645.70 = 421,498.20/x
  3. Step 3: Cross multiply
    447,763.80x = 671,645.70 × 421,498.20
  4. Step 4: Simplify right side
    447,763.80x = 283,097,453,587.74
  5. Step 5: Solve for x
    x = 283,097,453,587.74/447,763.80
  6. Step 6: Final answer
    x = 632,247.30

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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.