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Finding the Fourth Proportional to 456,348.76, 684,231.50 and 219,219.64

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Solution

The fourth proportional to 456,348.76, 684,231.50 and 219,219.64 is: 328,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,348.76 : 684,231.50 = 219,219.64 : x
  2. Step 2: Convert to fraction form
    456,348.76/684,231.50 = 219,219.64/x
  3. Step 3: Cross multiply
    456,348.76x = 684,231.50 × 219,219.64
  4. Step 4: Simplify right side
    456,348.76x = 149,996,983,106.66
  5. Step 5: Solve for x
    x = 149,996,983,106.66/456,348.76
  6. Step 6: Final answer
    x = 328,689.36

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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.