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Finding the Fourth Proportional to 471,646.80, 707,009.40 and 421,880.40

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Solution

The fourth proportional to 471,646.80, 707,009.40 and 421,880.40 is: 632,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,646.80 : 707,009.40 = 421,880.40 : x
  2. Step 2: Convert to fraction form
    471,646.80/707,009.40 = 421,880.40/x
  3. Step 3: Cross multiply
    471,646.80x = 707,009.40 × 421,880.40
  4. Step 4: Simplify right side
    471,646.80x = 298,273,408,475.76
  5. Step 5: Solve for x
    x = 298,273,408,475.76/471,646.80
  6. Step 6: Final answer
    x = 632,408.42

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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.