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Finding the Fourth Proportional to 446,430.80, 669,646.20 and 313,461.20

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Solution

The fourth proportional to 446,430.80, 669,646.20 and 313,461.20 is: 470,191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,430.80 : 669,646.20 = 313,461.20 : x
  2. Step 2: Convert to fraction form
    446,430.80/669,646.20 = 313,461.20/x
  3. Step 3: Cross multiply
    446,430.80x = 669,646.20 × 313,461.20
  4. Step 4: Simplify right side
    446,430.80x = 209,908,101,427.44
  5. Step 5: Solve for x
    x = 209,908,101,427.44/446,430.80
  6. Step 6: Final answer
    x = 470,191.80

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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.