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Finding the Fourth Proportional to 213,407.46, 319,804.20 and 156,803.04

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Solution

The fourth proportional to 213,407.46, 319,804.20 and 156,803.04 is: 234,979.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,407.46 : 319,804.20 = 156,803.04 : x
  2. Step 2: Convert to fraction form
    213,407.46/319,804.20 = 156,803.04/x
  3. Step 3: Cross multiply
    213,407.46x = 319,804.20 × 156,803.04
  4. Step 4: Simplify right side
    213,407.46x = 50,146,270,764.77
  5. Step 5: Solve for x
    x = 50,146,270,764.77/213,407.46
  6. Step 6: Final answer
    x = 234,979.00

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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.