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Finding the Fourth Proportional to 282,765.50, 390,217.20 and 161,908.64

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Solution

The fourth proportional to 282,765.50, 390,217.20 and 161,908.64 is: 223,434.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,765.50 : 390,217.20 = 161,908.64 : x
  2. Step 2: Convert to fraction form
    282,765.50/390,217.20 = 161,908.64/x
  3. Step 3: Cross multiply
    282,765.50x = 390,217.20 × 161,908.64
  4. Step 4: Simplify right side
    282,765.50x = 63,179,536,156.61
  5. Step 5: Solve for x
    x = 63,179,536,156.61/282,765.50
  6. Step 6: Final answer
    x = 223,434.39

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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.