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Finding the Fourth Proportional to 435,590, 653,409.63 and 155,107.28

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Solution

The fourth proportional to 435,590, 653,409.63 and 155,107.28 is: 232,669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,590 : 653,409.63 = 155,107.28 : x
  2. Step 2: Convert to fraction form
    435,590/653,409.63 = 155,107.28/x
  3. Step 3: Cross multiply
    435,590x = 653,409.63 × 155,107.28
  4. Step 4: Simplify right side
    435,590x = 101,348,590,435.11
  5. Step 5: Solve for x
    x = 101,348,590,435.11/435,590
  6. Step 6: Final answer
    x = 232,669.69

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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.