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Finding the Fourth Proportional to 381,699.20, 572,548.80 and 195,075.20

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Solution

The fourth proportional to 381,699.20, 572,548.80 and 195,075.20 is: 292,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,699.20 : 572,548.80 = 195,075.20 : x
  2. Step 2: Convert to fraction form
    381,699.20/572,548.80 = 195,075.20/x
  3. Step 3: Cross multiply
    381,699.20x = 572,548.80 × 195,075.20
  4. Step 4: Simplify right side
    381,699.20x = 111,690,071,669.76
  5. Step 5: Solve for x
    x = 111,690,071,669.76/381,699.20
  6. Step 6: Final answer
    x = 292,612.80

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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.