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Finding the Fourth Proportional to 472,423.80, 706,907.70 and 348,007.80

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Solution

The fourth proportional to 472,423.80, 706,907.70 and 348,007.80 is: 520,738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,423.80 : 706,907.70 = 348,007.80 : x
  2. Step 2: Convert to fraction form
    472,423.80/706,907.70 = 348,007.80/x
  3. Step 3: Cross multiply
    472,423.80x = 706,907.70 × 348,007.80
  4. Step 4: Simplify right side
    472,423.80x = 246,009,393,480.06
  5. Step 5: Solve for x
    x = 246,009,393,480.06/472,423.80
  6. Step 6: Final answer
    x = 520,738.78

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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.