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Finding the Fourth Proportional to 230,744.34, 318,303.81 and 159,159.78

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Solution

The fourth proportional to 230,744.34, 318,303.81 and 159,159.78 is: 219,555.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,744.34 : 318,303.81 = 159,159.78 : x
  2. Step 2: Convert to fraction form
    230,744.34/318,303.81 = 159,159.78/x
  3. Step 3: Cross multiply
    230,744.34x = 318,303.81 × 159,159.78
  4. Step 4: Simplify right side
    230,744.34x = 50,661,164,372.76
  5. Step 5: Solve for x
    x = 50,661,164,372.76/230,744.34
  6. Step 6: Final answer
    x = 219,555.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.