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Finding the Fourth Proportional to 469,189.50, 648,016.20 and 318,024.06

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Solution

The fourth proportional to 469,189.50, 648,016.20 and 318,024.06 is: 439,235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,189.50 : 648,016.20 = 318,024.06 : x
  2. Step 2: Convert to fraction form
    469,189.50/648,016.20 = 318,024.06/x
  3. Step 3: Cross multiply
    469,189.50x = 648,016.20 × 318,024.06
  4. Step 4: Simplify right side
    469,189.50x = 206,084,742,869.77
  5. Step 5: Solve for x
    x = 206,084,742,869.77/469,189.50
  6. Step 6: Final answer
    x = 439,235.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.