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Finding the Fourth Proportional to 543,758.80, 815,638.20 and 402,041.20

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Solution

The fourth proportional to 543,758.80, 815,638.20 and 402,041.20 is: 603,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,758.80 : 815,638.20 = 402,041.20 : x
  2. Step 2: Convert to fraction form
    543,758.80/815,638.20 = 402,041.20/x
  3. Step 3: Cross multiply
    543,758.80x = 815,638.20 × 402,041.20
  4. Step 4: Simplify right side
    543,758.80x = 327,920,160,693.84
  5. Step 5: Solve for x
    x = 327,920,160,693.84/543,758.80
  6. Step 6: Final answer
    x = 603,061.80

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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.