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Finding the Fourth Proportional to 210,019.80, 315,029.70 and 177,214.80

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Solution

The fourth proportional to 210,019.80, 315,029.70 and 177,214.80 is: 265,822.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,019.80 : 315,029.70 = 177,214.80 : x
  2. Step 2: Convert to fraction form
    210,019.80/315,029.70 = 177,214.80/x
  3. Step 3: Cross multiply
    210,019.80x = 315,029.70 × 177,214.80
  4. Step 4: Simplify right side
    210,019.80x = 55,827,925,279.56
  5. Step 5: Solve for x
    x = 55,827,925,279.56/210,019.80
  6. Step 6: Final answer
    x = 265,822.20

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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.