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Finding the Fourth Proportional to 525,234.85, 724,814.24 and 321,270.78

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Solution

The fourth proportional to 525,234.85, 724,814.24 and 321,270.78 is: 443,347.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,234.85 : 724,814.24 = 321,270.78 : x
  2. Step 2: Convert to fraction form
    525,234.85/724,814.24 = 321,270.78/x
  3. Step 3: Cross multiply
    525,234.85x = 724,814.24 × 321,270.78
  4. Step 4: Simplify right side
    525,234.85x = 232,861,636,239.91
  5. Step 5: Solve for x
    x = 232,861,636,239.91/525,234.85
  6. Step 6: Final answer
    x = 443,347.65

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1.5x scale

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.