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Finding the Fourth Proportional to 519,978.51, 780,011.91 and 146,001.51

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Solution

The fourth proportional to 519,978.51, 780,011.91 and 146,001.51 is: 219,014.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,978.51 : 780,011.91 = 146,001.51 : x
  2. Step 2: Convert to fraction form
    519,978.51/780,011.91 = 146,001.51/x
  3. Step 3: Cross multiply
    519,978.51x = 780,011.91 × 146,001.51
  4. Step 4: Simplify right side
    519,978.51x = 113,882,916,677.98
  5. Step 5: Solve for x
    x = 113,882,916,677.98/519,978.51
  6. Step 6: Final answer
    x = 219,014.66

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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.