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Finding the Fourth Proportional to 315,780, 435,970.80 and 202,801.92

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Solution

The fourth proportional to 315,780, 435,970.80 and 202,801.92 is: 279,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,780 : 435,970.80 = 202,801.92 : x
  2. Step 2: Convert to fraction form
    315,780/435,970.80 = 202,801.92/x
  3. Step 3: Cross multiply
    315,780x = 435,970.80 × 202,801.92
  4. Step 4: Simplify right side
    315,780x = 88,415,715,303.94
  5. Step 5: Solve for x
    x = 88,415,715,303.94/315,780
  6. Step 6: Final answer
    x = 279,991.50

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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.