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Finding the Fourth Proportional to 257,316.77, 385,843.53 and 107,516.18

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Solution

The fourth proportional to 257,316.77, 385,843.53 and 107,516.18 is: 161,219.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,316.77 : 385,843.53 = 107,516.18 : x
  2. Step 2: Convert to fraction form
    257,316.77/385,843.53 = 107,516.18/x
  3. Step 3: Cross multiply
    257,316.77x = 385,843.53 × 107,516.18
  4. Step 4: Simplify right side
    257,316.77x = 41,484,422,423.32
  5. Step 5: Solve for x
    x = 41,484,422,423.32/257,316.77
  6. Step 6: Final answer
    x = 161,219.27

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1.5x scale

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.