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Finding the Fourth Proportional to 519,981.51, 780,016.41 and 146,004.51

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Solution

The fourth proportional to 519,981.51, 780,016.41 and 146,004.51 is: 219,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,981.51 : 780,016.41 = 146,004.51 : x
  2. Step 2: Convert to fraction form
    519,981.51/780,016.41 = 146,004.51/x
  3. Step 3: Cross multiply
    519,981.51x = 780,016.41 × 146,004.51
  4. Step 4: Simplify right side
    519,981.51x = 113,885,913,734.01
  5. Step 5: Solve for x
    x = 113,885,913,734.01/519,981.51
  6. Step 6: Final answer
    x = 219,019.16

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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.