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Finding the Fourth Proportional to 402,518.40, 603,777.60 and 362,428.80

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Solution

The fourth proportional to 402,518.40, 603,777.60 and 362,428.80 is: 543,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,518.40 : 603,777.60 = 362,428.80 : x
  2. Step 2: Convert to fraction form
    402,518.40/603,777.60 = 362,428.80/x
  3. Step 3: Cross multiply
    402,518.40x = 603,777.60 × 362,428.80
  4. Step 4: Simplify right side
    402,518.40x = 218,826,391,034.88
  5. Step 5: Solve for x
    x = 218,826,391,034.88/402,518.40
  6. Step 6: Final answer
    x = 543,643.20

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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.