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Finding the Fourth Proportional to 432,005.20, 648,007.80 and 151,421.20

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Solution

The fourth proportional to 432,005.20, 648,007.80 and 151,421.20 is: 227,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,005.20 : 648,007.80 = 151,421.20 : x
  2. Step 2: Convert to fraction form
    432,005.20/648,007.80 = 151,421.20/x
  3. Step 3: Cross multiply
    432,005.20x = 648,007.80 × 151,421.20
  4. Step 4: Simplify right side
    432,005.20x = 98,122,118,685.36
  5. Step 5: Solve for x
    x = 98,122,118,685.36/432,005.20
  6. Step 6: Final answer
    x = 227,131.80

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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.