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Finding the Fourth Proportional to 317,722.60, 438,347.52 and 203,068.32

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Solution

The fourth proportional to 317,722.60, 438,347.52 and 203,068.32 is: 280,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,722.60 : 438,347.52 = 203,068.32 : x
  2. Step 2: Convert to fraction form
    317,722.60/438,347.52 = 203,068.32/x
  3. Step 3: Cross multiply
    317,722.60x = 438,347.52 × 203,068.32
  4. Step 4: Simplify right side
    317,722.60x = 89,014,494,462.57
  5. Step 5: Solve for x
    x = 89,014,494,462.57/317,722.60
  6. Step 6: Final answer
    x = 280,164.19

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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.