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Finding the Fourth Proportional to 400,916, 601,409.52 and 105,428

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Solution

The fourth proportional to 400,916, 601,409.52 and 105,428 is: 158,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,916 : 601,409.52 = 105,428 : x
  2. Step 2: Convert to fraction form
    400,916/601,409.52 = 105,428/x
  3. Step 3: Cross multiply
    400,916x = 601,409.52 × 105,428
  4. Step 4: Simplify right side
    400,916x = 63,405,402,874.56
  5. Step 5: Solve for x
    x = 63,405,402,874.56/400,916
  6. Step 6: Final answer
    x = 158,151.34

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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.