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Finding the Fourth Proportional to 338,640, 507,901.92 and 158,743.68

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Solution

The fourth proportional to 338,640, 507,901.92 and 158,743.68 is: 238,088.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,640 : 507,901.92 = 158,743.68 : x
  2. Step 2: Convert to fraction form
    338,640/507,901.92 = 158,743.68/x
  3. Step 3: Cross multiply
    338,640x = 507,901.92 × 158,743.68
  4. Step 4: Simplify right side
    338,640x = 80,626,219,859.87
  5. Step 5: Solve for x
    x = 80,626,219,859.87/338,640
  6. Step 6: Final answer
    x = 238,088.29

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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.