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Finding the Fourth Proportional to 472,759.96, 705,452.64 and 421,808.72

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Solution

The fourth proportional to 472,759.96, 705,452.64 and 421,808.72 is: 629,423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,759.96 : 705,452.64 = 421,808.72 : x
  2. Step 2: Convert to fraction form
    472,759.96/705,452.64 = 421,808.72/x
  3. Step 3: Cross multiply
    472,759.96x = 705,452.64 × 421,808.72
  4. Step 4: Simplify right side
    472,759.96x = 297,566,075,099.02
  5. Step 5: Solve for x
    x = 297,566,075,099.02/472,759.96
  6. Step 6: Final answer
    x = 629,423.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.