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Finding the Fourth Proportional to 484,967.40, 727,580.70 and 432,738.60

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Solution

The fourth proportional to 484,967.40, 727,580.70 and 432,738.60 is: 649,223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,967.40 : 727,580.70 = 432,738.60 : x
  2. Step 2: Convert to fraction form
    484,967.40/727,580.70 = 432,738.60/x
  3. Step 3: Cross multiply
    484,967.40x = 727,580.70 × 432,738.60
  4. Step 4: Simplify right side
    484,967.40x = 314,852,253,505.02
  5. Step 5: Solve for x
    x = 314,852,253,505.02/484,967.40
  6. Step 6: Final answer
    x = 649,223.54

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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.