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Finding the Fourth Proportional to 316,774.12, 437,179.64 and 180,828.50

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Solution

The fourth proportional to 316,774.12, 437,179.64 and 180,828.50 is: 249,561.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,774.12 : 437,179.64 = 180,828.50 : x
  2. Step 2: Convert to fraction form
    316,774.12/437,179.64 = 180,828.50/x
  3. Step 3: Cross multiply
    316,774.12x = 437,179.64 × 180,828.50
  4. Step 4: Simplify right side
    316,774.12x = 79,054,538,531.74
  5. Step 5: Solve for x
    x = 79,054,538,531.74/316,774.12
  6. Step 6: Final answer
    x = 249,561.23

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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.