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Finding the Fourth Proportional to 215,852.80, 323,779.20 and 163,364.80

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Solution

The fourth proportional to 215,852.80, 323,779.20 and 163,364.80 is: 245,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,852.80 : 323,779.20 = 163,364.80 : x
  2. Step 2: Convert to fraction form
    215,852.80/323,779.20 = 163,364.80/x
  3. Step 3: Cross multiply
    215,852.80x = 323,779.20 × 163,364.80
  4. Step 4: Simplify right side
    215,852.80x = 52,894,124,252.16
  5. Step 5: Solve for x
    x = 52,894,124,252.16/215,852.80
  6. Step 6: Final answer
    x = 245,047.20

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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.