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Finding the Fourth Proportional to 310,638.41, 428,825.43 and 234,188.58

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Solution

The fourth proportional to 310,638.41, 428,825.43 and 234,188.58 is: 323,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,638.41 : 428,825.43 = 234,188.58 : x
  2. Step 2: Convert to fraction form
    310,638.41/428,825.43 = 234,188.58/x
  3. Step 3: Cross multiply
    310,638.41x = 428,825.43 × 234,188.58
  4. Step 4: Simplify right side
    310,638.41x = 100,426,018,519.59
  5. Step 5: Solve for x
    x = 100,426,018,519.59/310,638.41
  6. Step 6: Final answer
    x = 323,289.13

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1.5x scale

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.