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Finding the Fourth Proportional to 475,458.42, 654,960.75 and 407,253.18

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Solution

The fourth proportional to 475,458.42, 654,960.75 and 407,253.18 is: 561,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,458.42 : 654,960.75 = 407,253.18 : x
  2. Step 2: Convert to fraction form
    475,458.42/654,960.75 = 407,253.18/x
  3. Step 3: Cross multiply
    475,458.42x = 654,960.75 × 407,253.18
  4. Step 4: Simplify right side
    475,458.42x = 266,734,848,212.69
  5. Step 5: Solve for x
    x = 266,734,848,212.69/475,458.42
  6. Step 6: Final answer
    x = 561,005.63

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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.