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Finding the Fourth Proportional to 201,810.40, 303,007.20 and 152,238.40

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Solution

The fourth proportional to 201,810.40, 303,007.20 and 152,238.40 is: 228,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,810.40 : 303,007.20 = 152,238.40 : x
  2. Step 2: Convert to fraction form
    201,810.40/303,007.20 = 152,238.40/x
  3. Step 3: Cross multiply
    201,810.40x = 303,007.20 × 152,238.40
  4. Step 4: Simplify right side
    201,810.40x = 46,129,331,316.48
  5. Step 5: Solve for x
    x = 46,129,331,316.48/201,810.40
  6. Step 6: Final answer
    x = 228,577.57

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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.