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Finding the Fourth Proportional to 519,322.10, 778,894.83 and 145,258.10

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Solution

The fourth proportional to 519,322.10, 778,894.83 and 145,258.10 is: 217,862.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,322.10 : 778,894.83 = 145,258.10 : x
  2. Step 2: Convert to fraction form
    519,322.10/778,894.83 = 145,258.10/x
  3. Step 3: Cross multiply
    519,322.10x = 778,894.83 × 145,258.10
  4. Step 4: Simplify right side
    519,322.10x = 113,140,783,105.62
  5. Step 5: Solve for x
    x = 113,140,783,105.62/519,322.10
  6. Step 6: Final answer
    x = 217,862.45

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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.