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Finding the Fourth Proportional to 314,720, 434,317.92 and 180,584

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Solution

The fourth proportional to 314,720, 434,317.92 and 180,584 is: 249,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,720 : 434,317.92 = 180,584 : x
  2. Step 2: Convert to fraction form
    314,720/434,317.92 = 180,584/x
  3. Step 3: Cross multiply
    314,720x = 434,317.92 × 180,584
  4. Step 4: Simplify right side
    314,720x = 78,430,867,265.28
  5. Step 5: Solve for x
    x = 78,430,867,265.28/314,720
  6. Step 6: Final answer
    x = 249,208.40

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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.