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Finding the Fourth Proportional to 519,543, 779,445.72 and 145,566

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Solution

The fourth proportional to 519,543, 779,445.72 and 145,566 is: 218,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,543 : 779,445.72 = 145,566 : x
  2. Step 2: Convert to fraction form
    519,543/779,445.72 = 145,566/x
  3. Step 3: Cross multiply
    519,543x = 779,445.72 × 145,566
  4. Step 4: Simplify right side
    519,543x = 113,460,795,677.52
  5. Step 5: Solve for x
    x = 113,460,795,677.52/519,543
  6. Step 6: Final answer
    x = 218,385.77

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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.