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Finding the Fourth Proportional to 317,416.32, 438,033.32 and 174,178.76

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Solution

The fourth proportional to 317,416.32, 438,033.32 and 174,178.76 is: 240,366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,416.32 : 438,033.32 = 174,178.76 : x
  2. Step 2: Convert to fraction form
    317,416.32/438,033.32 = 174,178.76/x
  3. Step 3: Cross multiply
    317,416.32x = 438,033.32 × 174,178.76
  4. Step 4: Simplify right side
    317,416.32x = 76,296,098,108.39
  5. Step 5: Solve for x
    x = 76,296,098,108.39/317,416.32
  6. Step 6: Final answer
    x = 240,366.02

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1.5x scale

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.