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Finding the Fourth Proportional to 553,002.72, 763,145.28 and 311,289

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Solution

The fourth proportional to 553,002.72, 763,145.28 and 311,289 is: 429,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,002.72 : 763,145.28 = 311,289 : x
  2. Step 2: Convert to fraction form
    553,002.72/763,145.28 = 311,289/x
  3. Step 3: Cross multiply
    553,002.72x = 763,145.28 × 311,289
  4. Step 4: Simplify right side
    553,002.72x = 237,558,731,065.92
  5. Step 5: Solve for x
    x = 237,558,731,065.92/553,002.72
  6. Step 6: Final answer
    x = 429,579.68

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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.