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Finding the Fourth Proportional to 314,600, 434,148 and 180,507.20

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Solution

The fourth proportional to 314,600, 434,148 and 180,507.20 is: 249,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,600 : 434,148 = 180,507.20 : x
  2. Step 2: Convert to fraction form
    314,600/434,148 = 180,507.20/x
  3. Step 3: Cross multiply
    314,600x = 434,148 × 180,507.20
  4. Step 4: Simplify right side
    314,600x = 78,366,839,865.60
  5. Step 5: Solve for x
    x = 78,366,839,865.60/314,600
  6. Step 6: Final answer
    x = 249,099.94

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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.