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Finding the Fourth Proportional to 405,227.91, 607,298.54 and 315,379.12

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Solution

The fourth proportional to 405,227.91, 607,298.54 and 315,379.12 is: 472,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,227.91 : 607,298.54 = 315,379.12 : x
  2. Step 2: Convert to fraction form
    405,227.91/607,298.54 = 315,379.12/x
  3. Step 3: Cross multiply
    405,227.91x = 607,298.54 × 315,379.12
  4. Step 4: Simplify right side
    405,227.91x = 191,529,276,027.34
  5. Step 5: Solve for x
    x = 191,529,276,027.34/405,227.91
  6. Step 6: Final answer
    x = 472,645.82

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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.