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Finding the Fourth Proportional to 472,669.70, 709,004.55 and 413,620.70

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Solution

The fourth proportional to 472,669.70, 709,004.55 and 413,620.70 is: 620,431.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,669.70 : 709,004.55 = 413,620.70 : x
  2. Step 2: Convert to fraction form
    472,669.70/709,004.55 = 413,620.70/x
  3. Step 3: Cross multiply
    472,669.70x = 709,004.55 × 413,620.70
  4. Step 4: Simplify right side
    472,669.70x = 293,258,958,274.19
  5. Step 5: Solve for x
    x = 293,258,958,274.19/472,669.70
  6. Step 6: Final answer
    x = 620,431.05

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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.