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Finding the Fourth Proportional to 472,679.52, 652,299.77 and 257,824.20

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Solution

The fourth proportional to 472,679.52, 652,299.77 and 257,824.20 is: 355,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,679.52 : 652,299.77 = 257,824.20 : x
  2. Step 2: Convert to fraction form
    472,679.52/652,299.77 = 257,824.20/x
  3. Step 3: Cross multiply
    472,679.52x = 652,299.77 × 257,824.20
  4. Step 4: Simplify right side
    472,679.52x = 168,178,665,071.31
  5. Step 5: Solve for x
    x = 168,178,665,071.31/472,679.52
  6. Step 6: Final answer
    x = 355,798.50

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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.