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Finding the Fourth Proportional to 405,542.70, 607,038.57 and 278,439.12

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Solution

The fourth proportional to 405,542.70, 607,038.57 and 278,439.12 is: 416,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,542.70 : 607,038.57 = 278,439.12 : x
  2. Step 2: Convert to fraction form
    405,542.70/607,038.57 = 278,439.12/x
  3. Step 3: Cross multiply
    405,542.70x = 607,038.57 × 278,439.12
  4. Step 4: Simplify right side
    405,542.70x = 169,023,285,236.86
  5. Step 5: Solve for x
    x = 169,023,285,236.86/405,542.70
  6. Step 6: Final answer
    x = 416,782.96

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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.