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Finding the Fourth Proportional to 385,449.84, 578,156.94 and 101,133.36

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Solution

The fourth proportional to 385,449.84, 578,156.94 and 101,133.36 is: 151,695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,449.84 : 578,156.94 = 101,133.36 : x
  2. Step 2: Convert to fraction form
    385,449.84/578,156.94 = 101,133.36/x
  3. Step 3: Cross multiply
    385,449.84x = 578,156.94 × 101,133.36
  4. Step 4: Simplify right side
    385,449.84x = 58,470,953,949.52
  5. Step 5: Solve for x
    x = 58,470,953,949.52/385,449.84
  6. Step 6: Final answer
    x = 151,695.36

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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.