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Finding the Fourth Proportional to 315,318.78, 435,139.86 and 202,141.50

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Solution

The fourth proportional to 315,318.78, 435,139.86 and 202,141.50 is: 278,955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,318.78 : 435,139.86 = 202,141.50 : x
  2. Step 2: Convert to fraction form
    315,318.78/435,139.86 = 202,141.50/x
  3. Step 3: Cross multiply
    315,318.78x = 435,139.86 × 202,141.50
  4. Step 4: Simplify right side
    315,318.78x = 87,959,824,010.19
  5. Step 5: Solve for x
    x = 87,959,824,010.19/315,318.78
  6. Step 6: Final answer
    x = 278,955.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.