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Finding the Fourth Proportional to 288,640, 432,579.84 and 122,222.08

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Solution

The fourth proportional to 288,640, 432,579.84 and 122,222.08 is: 183,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,640 : 432,579.84 = 122,222.08 : x
  2. Step 2: Convert to fraction form
    288,640/432,579.84 = 122,222.08/x
  3. Step 3: Cross multiply
    288,640x = 432,579.84 × 122,222.08
  4. Step 4: Simplify right side
    288,640x = 52,870,807,810.87
  5. Step 5: Solve for x
    x = 52,870,807,810.87/288,640
  6. Step 6: Final answer
    x = 183,172.14

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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.