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Finding the Fourth Proportional to 316,389.65, 436,625.24 and 180,436.61

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Solution

The fourth proportional to 316,389.65, 436,625.24 and 180,436.61 is: 249,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,389.65 : 436,625.24 = 180,436.61 : x
  2. Step 2: Convert to fraction form
    316,389.65/436,625.24 = 180,436.61/x
  3. Step 3: Cross multiply
    316,389.65x = 436,625.24 × 180,436.61
  4. Step 4: Simplify right side
    316,389.65x = 78,783,178,335.42
  5. Step 5: Solve for x
    x = 78,783,178,335.42/316,389.65
  6. Step 6: Final answer
    x = 249,006.82

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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.