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Finding the Fourth Proportional to 471,745, 707,617.50 and 139,346.92

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Solution

The fourth proportional to 471,745, 707,617.50 and 139,346.92 is: 209,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,745 : 707,617.50 = 139,346.92 : x
  2. Step 2: Convert to fraction form
    471,745/707,617.50 = 139,346.92/x
  3. Step 3: Cross multiply
    471,745x = 707,617.50 × 139,346.92
  4. Step 4: Simplify right side
    471,745x = 98,604,319,163.10
  5. Step 5: Solve for x
    x = 98,604,319,163.10/471,745
  6. Step 6: Final answer
    x = 209,020.38

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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.