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Finding the Fourth Proportional to 278,123.28, 417,289.32 and 128,435.28

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Solution

The fourth proportional to 278,123.28, 417,289.32 and 128,435.28 is: 192,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,123.28 : 417,289.32 = 128,435.28 : x
  2. Step 2: Convert to fraction form
    278,123.28/417,289.32 = 128,435.28/x
  3. Step 3: Cross multiply
    278,123.28x = 417,289.32 × 128,435.28
  4. Step 4: Simplify right side
    278,123.28x = 53,594,670,655.21
  5. Step 5: Solve for x
    x = 53,594,670,655.21/278,123.28
  6. Step 6: Final answer
    x = 192,701.13

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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.