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Finding the Fourth Proportional to 713,981.82, 985,232.16 and 407,997.48

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Solution

The fourth proportional to 713,981.82, 985,232.16 and 407,997.48 is: 563,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,981.82 : 985,232.16 = 407,997.48 : x
  2. Step 2: Convert to fraction form
    713,981.82/985,232.16 = 407,997.48/x
  3. Step 3: Cross multiply
    713,981.82x = 985,232.16 × 407,997.48
  4. Step 4: Simplify right side
    713,981.82x = 401,972,238,494.96
  5. Step 5: Solve for x
    x = 401,972,238,494.96/713,981.82
  6. Step 6: Final answer
    x = 563,000.66

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1.5x scale

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.