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Finding the Fourth Proportional to 210,017.80, 315,026.70 and 177,212.80

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Solution

The fourth proportional to 210,017.80, 315,026.70 and 177,212.80 is: 265,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,017.80 : 315,026.70 = 177,212.80 : x
  2. Step 2: Convert to fraction form
    210,017.80/315,026.70 = 177,212.80/x
  3. Step 3: Cross multiply
    210,017.80x = 315,026.70 × 177,212.80
  4. Step 4: Simplify right side
    210,017.80x = 55,826,763,581.76
  5. Step 5: Solve for x
    x = 55,826,763,581.76/210,017.80
  6. Step 6: Final answer
    x = 265,819.20

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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.