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Finding the Fourth Proportional to 478,788.83, 718,354.73 and 205,120.20

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Solution

The fourth proportional to 478,788.83, 718,354.73 and 205,120.20 is: 307,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,788.83 : 718,354.73 = 205,120.20 : x
  2. Step 2: Convert to fraction form
    478,788.83/718,354.73 = 205,120.20/x
  3. Step 3: Cross multiply
    478,788.83x = 718,354.73 × 205,120.20
  4. Step 4: Simplify right side
    478,788.83x = 147,349,065,888.55
  5. Step 5: Solve for x
    x = 147,349,065,888.55/478,788.83
  6. Step 6: Final answer
    x = 307,753.77

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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.