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Finding the Fourth Proportional to 432,014.40, 648,021.60 and 151,495.20

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Solution

The fourth proportional to 432,014.40, 648,021.60 and 151,495.20 is: 227,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,014.40 : 648,021.60 = 151,495.20 : x
  2. Step 2: Convert to fraction form
    432,014.40/648,021.60 = 151,495.20/x
  3. Step 3: Cross multiply
    432,014.40x = 648,021.60 × 151,495.20
  4. Step 4: Simplify right side
    432,014.40x = 98,172,161,896.32
  5. Step 5: Solve for x
    x = 98,172,161,896.32/432,014.40
  6. Step 6: Final answer
    x = 227,242.80

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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.