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Finding the Fourth Proportional to 309,688.77, 427,282.64 and 180,632.87

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Solution

The fourth proportional to 309,688.77, 427,282.64 and 180,632.87 is: 249,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,688.77 : 427,282.64 = 180,632.87 : x
  2. Step 2: Convert to fraction form
    309,688.77/427,282.64 = 180,632.87/x
  3. Step 3: Cross multiply
    309,688.77x = 427,282.64 × 180,632.87
  4. Step 4: Simplify right side
    309,688.77x = 77,181,288,661.21
  5. Step 5: Solve for x
    x = 77,181,288,661.21/309,688.77
  6. Step 6: Final answer
    x = 249,222.11

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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.