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Finding the Fourth Proportional to 432,858.40, 649,287.60 and 243,901.60

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Solution

The fourth proportional to 432,858.40, 649,287.60 and 243,901.60 is: 365,852.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,858.40 : 649,287.60 = 243,901.60 : x
  2. Step 2: Convert to fraction form
    432,858.40/649,287.60 = 243,901.60/x
  3. Step 3: Cross multiply
    432,858.40x = 649,287.60 × 243,901.60
  4. Step 4: Simplify right side
    432,858.40x = 158,362,284,500.16
  5. Step 5: Solve for x
    x = 158,362,284,500.16/432,858.40
  6. Step 6: Final answer
    x = 365,852.40

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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.