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Finding the Fourth Proportional to 411,641.28, 618,495.48 and 261,946.80

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Solution

The fourth proportional to 411,641.28, 618,495.48 and 261,946.80 is: 393,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,641.28 : 618,495.48 = 261,946.80 : x
  2. Step 2: Convert to fraction form
    411,641.28/618,495.48 = 261,946.80/x
  3. Step 3: Cross multiply
    411,641.28x = 618,495.48 × 261,946.80
  4. Step 4: Simplify right side
    411,641.28x = 162,012,911,800.46
  5. Step 5: Solve for x
    x = 162,012,911,800.46/411,641.28
  6. Step 6: Final answer
    x = 393,577.90

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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.