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Finding the Fourth Proportional to 200,678.40, 277,123.50 and 129,182.46

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Solution

The fourth proportional to 200,678.40, 277,123.50 and 129,182.46 is: 178,392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,678.40 : 277,123.50 = 129,182.46 : x
  2. Step 2: Convert to fraction form
    200,678.40/277,123.50 = 129,182.46/x
  3. Step 3: Cross multiply
    200,678.40x = 277,123.50 × 129,182.46
  4. Step 4: Simplify right side
    200,678.40x = 35,799,495,453.81
  5. Step 5: Solve for x
    x = 35,799,495,453.81/200,678.40
  6. Step 6: Final answer
    x = 178,392.37

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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.