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Finding the Fourth Proportional to 465,216, 641,998.08 and 253,248

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Solution

The fourth proportional to 465,216, 641,998.08 and 253,248 is: 349,482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,216 : 641,998.08 = 253,248 : x
  2. Step 2: Convert to fraction form
    465,216/641,998.08 = 253,248/x
  3. Step 3: Cross multiply
    465,216x = 641,998.08 × 253,248
  4. Step 4: Simplify right side
    465,216x = 162,584,729,763.84
  5. Step 5: Solve for x
    x = 162,584,729,763.84/465,216
  6. Step 6: Final answer
    x = 349,482.24

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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.