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Finding the Fourth Proportional to 317,563.40, 438,242.46 and 174,336.50

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Solution

The fourth proportional to 317,563.40, 438,242.46 and 174,336.50 is: 240,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,563.40 : 438,242.46 = 174,336.50 : x
  2. Step 2: Convert to fraction form
    317,563.40/438,242.46 = 174,336.50/x
  3. Step 3: Cross multiply
    317,563.40x = 438,242.46 × 174,336.50
  4. Step 4: Simplify right side
    317,563.40x = 76,401,656,627.79
  5. Step 5: Solve for x
    x = 76,401,656,627.79/317,563.40
  6. Step 6: Final answer
    x = 240,587.10

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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.