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Finding the Fourth Proportional to 519,569.64, 778,749.39 and 219,950.64

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Solution

The fourth proportional to 519,569.64, 778,749.39 and 219,950.64 is: 329,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,569.64 : 778,749.39 = 219,950.64 : x
  2. Step 2: Convert to fraction form
    519,569.64/778,749.39 = 219,950.64/x
  3. Step 3: Cross multiply
    519,569.64x = 778,749.39 × 219,950.64
  4. Step 4: Simplify right side
    519,569.64x = 171,286,426,730.11
  5. Step 5: Solve for x
    x = 171,286,426,730.11/519,569.64
  6. Step 6: Final answer
    x = 329,669.81

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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.