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Finding the Fourth Proportional to 472,937.80, 708,830.70 and 206,134.60

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Solution

The fourth proportional to 472,937.80, 708,830.70 and 206,134.60 is: 308,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,937.80 : 708,830.70 = 206,134.60 : x
  2. Step 2: Convert to fraction form
    472,937.80/708,830.70 = 206,134.60/x
  3. Step 3: Cross multiply
    472,937.80x = 708,830.70 × 206,134.60
  4. Step 4: Simplify right side
    472,937.80x = 146,114,532,812.22
  5. Step 5: Solve for x
    x = 146,114,532,812.22/472,937.80
  6. Step 6: Final answer
    x = 308,950.84

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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.