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Finding the Fourth Proportional to 447,403.88, 671,210.93 and 147,884.48

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Solution

The fourth proportional to 447,403.88, 671,210.93 and 147,884.48 is: 221,861.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,403.88 : 671,210.93 = 147,884.48 : x
  2. Step 2: Convert to fraction form
    447,403.88/671,210.93 = 147,884.48/x
  3. Step 3: Cross multiply
    447,403.88x = 671,210.93 × 147,884.48
  4. Step 4: Simplify right side
    447,403.88x = 99,261,676,367.02
  5. Step 5: Solve for x
    x = 99,261,676,367.02/447,403.88
  6. Step 6: Final answer
    x = 221,861.46

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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.