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Finding the Fourth Proportional to 310,783.60, 428,726.10 and 196,204.24

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Solution

The fourth proportional to 310,783.60, 428,726.10 and 196,204.24 is: 270,663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,783.60 : 428,726.10 = 196,204.24 : x
  2. Step 2: Convert to fraction form
    310,783.60/428,726.10 = 196,204.24/x
  3. Step 3: Cross multiply
    310,783.60x = 428,726.10 × 196,204.24
  4. Step 4: Simplify right side
    310,783.60x = 84,117,878,282.61
  5. Step 5: Solve for x
    x = 84,117,878,282.61/310,783.60
  6. Step 6: Final answer
    x = 270,663.83

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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.