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Finding the Fourth Proportional to 257,412.53, 355,018.67 and 181,183.97

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Solution

The fourth proportional to 257,412.53, 355,018.67 and 181,183.97 is: 249,885.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,412.53 : 355,018.67 = 181,183.97 : x
  2. Step 2: Convert to fraction form
    257,412.53/355,018.67 = 181,183.97/x
  3. Step 3: Cross multiply
    257,412.53x = 355,018.67 × 181,183.97
  4. Step 4: Simplify right side
    257,412.53x = 64,323,689,373.71
  5. Step 5: Solve for x
    x = 64,323,689,373.71/257,412.53
  6. Step 6: Final answer
    x = 249,885.62

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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.