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Finding the Fourth Proportional to 432,005.80, 648,008.70 and 306,034.60

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Solution

The fourth proportional to 432,005.80, 648,008.70 and 306,034.60 is: 459,051.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,005.80 : 648,008.70 = 306,034.60 : x
  2. Step 2: Convert to fraction form
    432,005.80/648,008.70 = 306,034.60/x
  3. Step 3: Cross multiply
    432,005.80x = 648,008.70 × 306,034.60
  4. Step 4: Simplify right side
    432,005.80x = 198,313,083,301.02
  5. Step 5: Solve for x
    x = 198,313,083,301.02/432,005.80
  6. Step 6: Final answer
    x = 459,051.90

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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.