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Finding the Fourth Proportional to 316,409.49, 436,623.17 and 180,449.16

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Solution

The fourth proportional to 316,409.49, 436,623.17 and 180,449.16 is: 249,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,409.49 : 436,623.17 = 180,449.16 : x
  2. Step 2: Convert to fraction form
    316,409.49/436,623.17 = 180,449.16/x
  3. Step 3: Cross multiply
    316,409.49x = 436,623.17 × 180,449.16
  4. Step 4: Simplify right side
    316,409.49x = 78,788,283,360.79
  5. Step 5: Solve for x
    x = 78,788,283,360.79/316,409.49
  6. Step 6: Final answer
    x = 249,007.33

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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.