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Finding the Fourth Proportional to 522,710.82, 783,972.54 and 138,462.21

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Solution

The fourth proportional to 522,710.82, 783,972.54 and 138,462.21 is: 207,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,710.82 : 783,972.54 = 138,462.21 : x
  2. Step 2: Convert to fraction form
    522,710.82/783,972.54 = 138,462.21/x
  3. Step 3: Cross multiply
    522,710.82x = 783,972.54 × 138,462.21
  4. Step 4: Simplify right side
    522,710.82x = 108,550,570,467.71
  5. Step 5: Solve for x
    x = 108,550,570,467.71/522,710.82
  6. Step 6: Final answer
    x = 207,668.50

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1.5x scale

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.