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Finding the Fourth Proportional to 405,227.76, 607,298.30 and 315,378.96

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Solution

The fourth proportional to 405,227.76, 607,298.30 and 315,378.96 is: 472,645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,227.76 : 607,298.30 = 315,378.96 : x
  2. Step 2: Convert to fraction form
    405,227.76/607,298.30 = 315,378.96/x
  3. Step 3: Cross multiply
    405,227.76x = 607,298.30 × 315,378.96
  4. Step 4: Simplify right side
    405,227.76x = 191,529,106,263.77
  5. Step 5: Solve for x
    x = 191,529,106,263.77/405,227.76
  6. Step 6: Final answer
    x = 472,645.58

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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.