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Finding the Fourth Proportional to 340,812.32, 470,322.87 and 197,657.24

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Solution

The fourth proportional to 340,812.32, 470,322.87 and 197,657.24 is: 272,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,812.32 : 470,322.87 = 197,657.24 : x
  2. Step 2: Convert to fraction form
    340,812.32/470,322.87 = 197,657.24/x
  3. Step 3: Cross multiply
    340,812.32x = 470,322.87 × 197,657.24
  4. Step 4: Simplify right side
    340,812.32x = 92,962,720,393.08
  5. Step 5: Solve for x
    x = 92,962,720,393.08/340,812.32
  6. Step 6: Final answer
    x = 272,768.07

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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.