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Finding the Fourth Proportional to 423,150.15, 583,793.94 and 278,034

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Solution

The fourth proportional to 423,150.15, 583,793.94 and 278,034 is: 383,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,150.15 : 583,793.94 = 278,034 : x
  2. Step 2: Convert to fraction form
    423,150.15/583,793.94 = 278,034/x
  3. Step 3: Cross multiply
    423,150.15x = 583,793.94 × 278,034
  4. Step 4: Simplify right side
    423,150.15x = 162,314,564,313.96
  5. Step 5: Solve for x
    x = 162,314,564,313.96/423,150.15
  6. Step 6: Final answer
    x = 383,586.21

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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.