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Finding the Fourth Proportional to 612,193.80, 918,290.70 and 413,128.20

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Solution

The fourth proportional to 612,193.80, 918,290.70 and 413,128.20 is: 619,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,193.80 : 918,290.70 = 413,128.20 : x
  2. Step 2: Convert to fraction form
    612,193.80/918,290.70 = 413,128.20/x
  3. Step 3: Cross multiply
    612,193.80x = 918,290.70 × 413,128.20
  4. Step 4: Simplify right side
    612,193.80x = 379,371,783,967.74
  5. Step 5: Solve for x
    x = 379,371,783,967.74/612,193.80
  6. Step 6: Final answer
    x = 619,692.30

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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.