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Finding the Fourth Proportional to 456,477.70, 685,135.05 and 231,994.30

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Solution

The fourth proportional to 456,477.70, 685,135.05 and 231,994.30 is: 348,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,477.70 : 685,135.05 = 231,994.30 : x
  2. Step 2: Convert to fraction form
    456,477.70/685,135.05 = 231,994.30/x
  3. Step 3: Cross multiply
    456,477.70x = 685,135.05 × 231,994.30
  4. Step 4: Simplify right side
    456,477.70x = 158,947,426,330.22
  5. Step 5: Solve for x
    x = 158,947,426,330.22/456,477.70
  6. Step 6: Final answer
    x = 348,204.14

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1.5x scale

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.