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Finding the Fourth Proportional to 553,271.68, 763,507.40 and 311,557.15

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Solution

The fourth proportional to 553,271.68, 763,507.40 and 311,557.15 is: 429,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,271.68 : 763,507.40 = 311,557.15 : x
  2. Step 2: Convert to fraction form
    553,271.68/763,507.40 = 311,557.15/x
  3. Step 3: Cross multiply
    553,271.68x = 763,507.40 × 311,557.15
  4. Step 4: Simplify right side
    553,271.68x = 237,876,188,418.03
  5. Step 5: Solve for x
    x = 237,876,188,418.03/553,271.68
  6. Step 6: Final answer
    x = 429,944.63

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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.