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Finding the Fourth Proportional to 657,978.40, 985,412.40 and 446,471.20

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Solution

The fourth proportional to 657,978.40, 985,412.40 and 446,471.20 is: 668,651.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,978.40 : 985,412.40 = 446,471.20 : x
  2. Step 2: Convert to fraction form
    657,978.40/985,412.40 = 446,471.20/x
  3. Step 3: Cross multiply
    657,978.40x = 985,412.40 × 446,471.20
  4. Step 4: Simplify right side
    657,978.40x = 439,958,256,722.88
  5. Step 5: Solve for x
    x = 439,958,256,722.88/657,978.40
  6. Step 6: Final answer
    x = 668,651.52

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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.