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Finding the Fourth Proportional to 777,354.87, 1,163,398.68 and 478,025.04

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Solution

The fourth proportional to 777,354.87, 1,163,398.68 and 478,025.04 is: 715,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,354.87 : 1,163,398.68 = 478,025.04 : x
  2. Step 2: Convert to fraction form
    777,354.87/1,163,398.68 = 478,025.04/x
  3. Step 3: Cross multiply
    777,354.87x = 1,163,398.68 × 478,025.04
  4. Step 4: Simplify right side
    777,354.87x = 556,133,700,542.95
  5. Step 5: Solve for x
    x = 556,133,700,542.95/777,354.87
  6. Step 6: Final answer
    x = 715,418.04

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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.