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Finding the Fourth Proportional to 553,135.80, 828,828.90 and 463,906.20

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Solution

The fourth proportional to 553,135.80, 828,828.90 and 463,906.20 is: 695,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,135.80 : 828,828.90 = 463,906.20 : x
  2. Step 2: Convert to fraction form
    553,135.80/828,828.90 = 463,906.20/x
  3. Step 3: Cross multiply
    553,135.80x = 828,828.90 × 463,906.20
  4. Step 4: Simplify right side
    553,135.80x = 384,498,865,449.18
  5. Step 5: Solve for x
    x = 384,498,865,449.18/553,135.80
  6. Step 6: Final answer
    x = 695,125.62

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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.