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Finding the Fourth Proportional to 314,598, 434,145.24 and 180,505.20

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Solution

The fourth proportional to 314,598, 434,145.24 and 180,505.20 is: 249,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,598 : 434,145.24 = 180,505.20 : x
  2. Step 2: Convert to fraction form
    314,598/434,145.24 = 180,505.20/x
  3. Step 3: Cross multiply
    314,598x = 434,145.24 × 180,505.20
  4. Step 4: Simplify right side
    314,598x = 78,365,473,375.25
  5. Step 5: Solve for x
    x = 78,365,473,375.25/314,598
  6. Step 6: Final answer
    x = 249,097.18

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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.