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Finding the Fourth Proportional to 525,188.49, 724,719.20 and 310,287.80

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Solution

The fourth proportional to 525,188.49, 724,719.20 and 310,287.80 is: 428,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,188.49 : 724,719.20 = 310,287.80 : x
  2. Step 2: Convert to fraction form
    525,188.49/724,719.20 = 310,287.80/x
  3. Step 3: Cross multiply
    525,188.49x = 724,719.20 × 310,287.80
  4. Step 4: Simplify right side
    525,188.49x = 224,871,521,010.73
  5. Step 5: Solve for x
    x = 224,871,521,010.73/525,188.49
  6. Step 6: Final answer
    x = 428,172.98

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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.