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Finding the Fourth Proportional to 282,052.71, 389,230.47 and 152,990.87

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Solution

The fourth proportional to 282,052.71, 389,230.47 and 152,990.87 is: 211,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,052.71 : 389,230.47 = 152,990.87 : x
  2. Step 2: Convert to fraction form
    282,052.71/389,230.47 = 152,990.87/x
  3. Step 3: Cross multiply
    282,052.71x = 389,230.47 × 152,990.87
  4. Step 4: Simplify right side
    282,052.71x = 59,548,706,863.37
  5. Step 5: Solve for x
    x = 59,548,706,863.37/282,052.71
  6. Step 6: Final answer
    x = 211,126.16

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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.