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Finding the Fourth Proportional to 477,310.04, 714,998.01 and 220,778

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Solution

The fourth proportional to 477,310.04, 714,998.01 and 220,778 is: 330,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,310.04 : 714,998.01 = 220,778 : x
  2. Step 2: Convert to fraction form
    477,310.04/714,998.01 = 220,778/x
  3. Step 3: Cross multiply
    477,310.04x = 714,998.01 × 220,778
  4. Step 4: Simplify right side
    477,310.04x = 157,855,830,651.78
  5. Step 5: Solve for x
    x = 157,855,830,651.78/477,310.04
  6. Step 6: Final answer
    x = 330,719.69

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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.