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Finding the Fourth Proportional to 521,894.48, 782,880.12 and 162,018.16

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Solution

The fourth proportional to 521,894.48, 782,880.12 and 162,018.16 is: 243,039.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,894.48 : 782,880.12 = 162,018.16 : x
  2. Step 2: Convert to fraction form
    521,894.48/782,880.12 = 162,018.16/x
  3. Step 3: Cross multiply
    521,894.48x = 782,880.12 × 162,018.16
  4. Step 4: Simplify right side
    521,894.48x = 126,840,796,542.98
  5. Step 5: Solve for x
    x = 126,840,796,542.98/521,894.48
  6. Step 6: Final answer
    x = 243,039.16

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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.