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Finding the Fourth Proportional to 402,296.40, 603,444.06 and 102,777.20

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Solution

The fourth proportional to 402,296.40, 603,444.06 and 102,777.20 is: 154,165.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,296.40 : 603,444.06 = 102,777.20 : x
  2. Step 2: Convert to fraction form
    402,296.40/603,444.06 = 102,777.20/x
  3. Step 3: Cross multiply
    402,296.40x = 603,444.06 × 102,777.20
  4. Step 4: Simplify right side
    402,296.40x = 62,020,290,843.43
  5. Step 5: Solve for x
    x = 62,020,290,843.43/402,296.40
  6. Step 6: Final answer
    x = 154,165.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.