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Finding the Fourth Proportional to 297,813.76, 410,984.32 and 163,686.40

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Solution

The fourth proportional to 297,813.76, 410,984.32 and 163,686.40 is: 225,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,813.76 : 410,984.32 = 163,686.40 : x
  2. Step 2: Convert to fraction form
    297,813.76/410,984.32 = 163,686.40/x
  3. Step 3: Cross multiply
    297,813.76x = 410,984.32 × 163,686.40
  4. Step 4: Simplify right side
    297,813.76x = 67,272,543,797.25
  5. Step 5: Solve for x
    x = 67,272,543,797.25/297,813.76
  6. Step 6: Final answer
    x = 225,887.96

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1.5x scale

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.