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Finding the Fourth Proportional to 314,969.40, 472,454.10 and 309,720.60

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Solution

The fourth proportional to 314,969.40, 472,454.10 and 309,720.60 is: 464,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,969.40 : 472,454.10 = 309,720.60 : x
  2. Step 2: Convert to fraction form
    314,969.40/472,454.10 = 309,720.60/x
  3. Step 3: Cross multiply
    314,969.40x = 472,454.10 × 309,720.60
  4. Step 4: Simplify right side
    314,969.40x = 146,328,767,324.46
  5. Step 5: Solve for x
    x = 146,328,767,324.46/314,969.40
  6. Step 6: Final answer
    x = 464,580.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.