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Finding the Fourth Proportional to 282,756.72, 390,205.08 and 161,899.92

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Solution

The fourth proportional to 282,756.72, 390,205.08 and 161,899.92 is: 223,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,756.72 : 390,205.08 = 161,899.92 : x
  2. Step 2: Convert to fraction form
    282,756.72/390,205.08 = 161,899.92/x
  3. Step 3: Cross multiply
    282,756.72x = 390,205.08 × 161,899.92
  4. Step 4: Simplify right side
    282,756.72x = 63,174,171,235.59
  5. Step 5: Solve for x
    x = 63,174,171,235.59/282,756.72
  6. Step 6: Final answer
    x = 223,422.35

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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.