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Finding the Fourth Proportional to 282,930.28, 424,582.40 and 133,213.40

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Solution

The fourth proportional to 282,930.28, 424,582.40 and 133,213.40 is: 199,908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,930.28 : 424,582.40 = 133,213.40 : x
  2. Step 2: Convert to fraction form
    282,930.28/424,582.40 = 133,213.40/x
  3. Step 3: Cross multiply
    282,930.28x = 424,582.40 × 133,213.40
  4. Step 4: Simplify right side
    282,930.28x = 56,560,065,084.16
  5. Step 5: Solve for x
    x = 56,560,065,084.16/282,930.28
  6. Step 6: Final answer
    x = 199,908.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.