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Finding the Fourth Proportional to 419,663.16, 578,443.41 and 296,997.30

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Solution

The fourth proportional to 419,663.16, 578,443.41 and 296,997.30 is: 409,366.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,663.16 : 578,443.41 = 296,997.30 : x
  2. Step 2: Convert to fraction form
    419,663.16/578,443.41 = 296,997.30/x
  3. Step 3: Cross multiply
    419,663.16x = 578,443.41 × 296,997.30
  4. Step 4: Simplify right side
    419,663.16x = 171,796,130,972.79
  5. Step 5: Solve for x
    x = 171,796,130,972.79/419,663.16
  6. Step 6: Final answer
    x = 409,366.72

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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.