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Finding the Fourth Proportional to 432,862.40, 649,293.60 and 243,905.60

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Solution

The fourth proportional to 432,862.40, 649,293.60 and 243,905.60 is: 365,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,862.40 : 649,293.60 = 243,905.60 : x
  2. Step 2: Convert to fraction form
    432,862.40/649,293.60 = 243,905.60/x
  3. Step 3: Cross multiply
    432,862.40x = 649,293.60 × 243,905.60
  4. Step 4: Simplify right side
    432,862.40x = 158,366,345,084.16
  5. Step 5: Solve for x
    x = 158,366,345,084.16/432,862.40
  6. Step 6: Final answer
    x = 365,858.40

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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.