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Finding the Fourth Proportional to 385,508.16, 578,607.84 and 322,721.28

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Solution

The fourth proportional to 385,508.16, 578,607.84 and 322,721.28 is: 484,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,508.16 : 578,607.84 = 322,721.28 : x
  2. Step 2: Convert to fraction form
    385,508.16/578,607.84 = 322,721.28/x
  3. Step 3: Cross multiply
    385,508.16x = 578,607.84 × 322,721.28
  4. Step 4: Simplify right side
    385,508.16x = 186,729,062,742.84
  5. Step 5: Solve for x
    x = 186,729,062,742.84/385,508.16
  6. Step 6: Final answer
    x = 484,371.23

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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.