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Finding the Fourth Proportional to 519,116.68, 778,675.74 and 145,139.32

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Solution

The fourth proportional to 519,116.68, 778,675.74 and 145,139.32 is: 217,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,116.68 : 778,675.74 = 145,139.32 : x
  2. Step 2: Convert to fraction form
    519,116.68/778,675.74 = 145,139.32/x
  3. Step 3: Cross multiply
    519,116.68x = 778,675.74 × 145,139.32
  4. Step 4: Simplify right side
    519,116.68x = 113,016,467,404.10
  5. Step 5: Solve for x
    x = 113,016,467,404.10/519,116.68
  6. Step 6: Final answer
    x = 217,709.18

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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.