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Finding the Fourth Proportional to 553,049.60, 763,231.56 and 311,332.64

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Solution

The fourth proportional to 553,049.60, 763,231.56 and 311,332.64 is: 429,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,049.60 : 763,231.56 = 311,332.64 : x
  2. Step 2: Convert to fraction form
    553,049.60/763,231.56 = 311,332.64/x
  3. Step 3: Cross multiply
    553,049.60x = 763,231.56 × 311,332.64
  4. Step 4: Simplify right side
    553,049.60x = 237,618,896,506.12
  5. Step 5: Solve for x
    x = 237,618,896,506.12/553,049.60
  6. Step 6: Final answer
    x = 429,652.05

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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.