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Finding the Fourth Proportional to 539,638.58, 809,316.92 and 160,457.22

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Solution

The fourth proportional to 539,638.58, 809,316.92 and 160,457.22 is: 240,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,638.58 : 809,316.92 = 160,457.22 : x
  2. Step 2: Convert to fraction form
    539,638.58/809,316.92 = 160,457.22/x
  3. Step 3: Cross multiply
    539,638.58x = 809,316.92 × 160,457.22
  4. Step 4: Simplify right side
    539,638.58x = 129,860,743,082.16
  5. Step 5: Solve for x
    x = 129,860,743,082.16/539,638.58
  6. Step 6: Final answer
    x = 240,643.92

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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.