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Finding the Fourth Proportional to 282,729, 390,170.50 and 161,869.80

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Solution

The fourth proportional to 282,729, 390,170.50 and 161,869.80 is: 223,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,729 : 390,170.50 = 161,869.80 : x
  2. Step 2: Convert to fraction form
    282,729/390,170.50 = 161,869.80/x
  3. Step 3: Cross multiply
    282,729x = 390,170.50 × 161,869.80
  4. Step 4: Simplify right side
    282,729x = 63,156,820,800.90
  5. Step 5: Solve for x
    x = 63,156,820,800.90/282,729
  6. Step 6: Final answer
    x = 223,382.89

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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.