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Finding the Fourth Proportional to 210,028.80, 315,043.20 and 177,223.80

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Solution

The fourth proportional to 210,028.80, 315,043.20 and 177,223.80 is: 265,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,028.80 : 315,043.20 = 177,223.80 : x
  2. Step 2: Convert to fraction form
    210,028.80/315,043.20 = 177,223.80/x
  3. Step 3: Cross multiply
    210,028.80x = 315,043.20 × 177,223.80
  4. Step 4: Simplify right side
    210,028.80x = 55,833,153,068.16
  5. Step 5: Solve for x
    x = 55,833,153,068.16/210,028.80
  6. Step 6: Final answer
    x = 265,835.70

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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.