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Finding the Fourth Proportional to 469,865.40, 648,414.72 and 255,005.58

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Solution

The fourth proportional to 469,865.40, 648,414.72 and 255,005.58 is: 351,907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,865.40 : 648,414.72 = 255,005.58 : x
  2. Step 2: Convert to fraction form
    469,865.40/648,414.72 = 255,005.58/x
  3. Step 3: Cross multiply
    469,865.40x = 648,414.72 × 255,005.58
  4. Step 4: Simplify right side
    469,865.40x = 165,349,371,754.14
  5. Step 5: Solve for x
    x = 165,349,371,754.14/469,865.40
  6. Step 6: Final answer
    x = 351,907.95

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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.