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Finding the Fourth Proportional to 296,870.20, 445,305.30 and 164,159.80

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Solution

The fourth proportional to 296,870.20, 445,305.30 and 164,159.80 is: 246,239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,870.20 : 445,305.30 = 164,159.80 : x
  2. Step 2: Convert to fraction form
    296,870.20/445,305.30 = 164,159.80/x
  3. Step 3: Cross multiply
    296,870.20x = 445,305.30 × 164,159.80
  4. Step 4: Simplify right side
    296,870.20x = 73,101,228,986.94
  5. Step 5: Solve for x
    x = 73,101,228,986.94/296,870.20
  6. Step 6: Final answer
    x = 246,239.70

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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.