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Finding the Fourth Proportional to 471,744, 707,616 and 139,345.92

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Solution

The fourth proportional to 471,744, 707,616 and 139,345.92 is: 209,018.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,744 : 707,616 = 139,345.92 : x
  2. Step 2: Convert to fraction form
    471,744/707,616 = 139,345.92/x
  3. Step 3: Cross multiply
    471,744x = 707,616 × 139,345.92
  4. Step 4: Simplify right side
    471,744x = 98,603,402,526.72
  5. Step 5: Solve for x
    x = 98,603,402,526.72/471,744
  6. Step 6: Final answer
    x = 209,018.88

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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.