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Finding the Fourth Proportional to 657,457.20, 985,609.80 and 446,410.80

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Solution

The fourth proportional to 657,457.20, 985,609.80 and 446,410.80 is: 669,225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,457.20 : 985,609.80 = 446,410.80 : x
  2. Step 2: Convert to fraction form
    657,457.20/985,609.80 = 446,410.80/x
  3. Step 3: Cross multiply
    657,457.20x = 985,609.80 × 446,410.80
  4. Step 4: Simplify right side
    657,457.20x = 439,986,859,305.84
  5. Step 5: Solve for x
    x = 439,986,859,305.84/657,457.20
  6. Step 6: Final answer
    x = 669,225.10

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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.