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Finding the Fourth Proportional to 523,740.30, 722,762.37 and 297,385.80

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Solution

The fourth proportional to 523,740.30, 722,762.37 and 297,385.80 is: 410,392.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,740.30 : 722,762.37 = 297,385.80 : x
  2. Step 2: Convert to fraction form
    523,740.30/722,762.37 = 297,385.80/x
  3. Step 3: Cross multiply
    523,740.30x = 722,762.37 × 297,385.80
  4. Step 4: Simplify right side
    523,740.30x = 214,939,265,612.35
  5. Step 5: Solve for x
    x = 214,939,265,612.35/523,740.30
  6. Step 6: Final answer
    x = 410,392.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.