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Finding the Fourth Proportional to 472,715.82, 652,352.00 and 257,856.84

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Solution

The fourth proportional to 472,715.82, 652,352.00 and 257,856.84 is: 355,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,715.82 : 652,352.00 = 257,856.84 : x
  2. Step 2: Convert to fraction form
    472,715.82/652,352.00 = 257,856.84/x
  3. Step 3: Cross multiply
    472,715.82x = 652,352.00 × 257,856.84
  4. Step 4: Simplify right side
    472,715.82x = 168,213,423,998.40
  5. Step 5: Solve for x
    x = 168,213,423,998.40/472,715.82
  6. Step 6: Final answer
    x = 355,844.71

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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.