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Finding the Fourth Proportional to 310,657.34, 428,604 and 253,197.96

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Solution

The fourth proportional to 310,657.34, 428,604 and 253,197.96 is: 349,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,657.34 : 428,604 = 253,197.96 : x
  2. Step 2: Convert to fraction form
    310,657.34/428,604 = 253,197.96/x
  3. Step 3: Cross multiply
    310,657.34x = 428,604 × 253,197.96
  4. Step 4: Simplify right side
    310,657.34x = 108,521,658,447.84
  5. Step 5: Solve for x
    x = 108,521,658,447.84/310,657.34
  6. Step 6: Final answer
    x = 349,329.14

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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.