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Finding the Fourth Proportional to 472,994.80, 710,311.40 and 333,730.80

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Solution

The fourth proportional to 472,994.80, 710,311.40 and 333,730.80 is: 501,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,994.80 : 710,311.40 = 333,730.80 : x
  2. Step 2: Convert to fraction form
    472,994.80/710,311.40 = 333,730.80/x
  3. Step 3: Cross multiply
    472,994.80x = 710,311.40 × 333,730.80
  4. Step 4: Simplify right side
    472,994.80x = 237,052,791,771.12
  5. Step 5: Solve for x
    x = 237,052,791,771.12/472,994.80
  6. Step 6: Final answer
    x = 501,174.20

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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.