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Finding the Fourth Proportional to 385,664, 578,506.24 and 123,008

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Solution

The fourth proportional to 385,664, 578,506.24 and 123,008 is: 184,515.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,664 : 578,506.24 = 123,008 : x
  2. Step 2: Convert to fraction form
    385,664/578,506.24 = 123,008/x
  3. Step 3: Cross multiply
    385,664x = 578,506.24 × 123,008
  4. Step 4: Simplify right side
    385,664x = 71,160,895,569.92
  5. Step 5: Solve for x
    x = 71,160,895,569.92/385,664
  6. Step 6: Final answer
    x = 184,515.27

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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.